(a) Subject to the provisions of this article governing dispositions and to the extent that funds of the county are available, the court may place a child in the custody of a suitable person in another state. On obtaining the written consent of a juvenile court of another state which has adopted the Uniform Juvenile Court Act or a substantially similar act which includes provisions corresponding to this Code section and Code Section 15-11-90, the court of this state may order that the child be placed under the supervision of a probation officer or other appropriate official designated by the accepting court. One certified copy of the order shall be sent to the accepting court and another shall be filed with the clerk of the governing authority of the county of the requesting court of this state.

(b) The reasonable cost of the supervision, including the expenses of necessary travel, shall be borne by the county of the requesting court of this state. Upon receiving a certified statement signed by the judge of the accepting court of the cost incurred by the supervision, the court of this state shall certify if it appears that the sum so stated was reasonably incurred and shall file it with the appropriate officials of the county for payment. The appropriate officials shall thereupon issue a warrant for the sum stated payable to the appropriate officials of the county of the accepting court.