Any funds appropriated by the Legislature to the Department of Education for distribution to the county boards of education to supplement programs required for Limited English Proficient students as defined by state board policy in accordance with federal law shall be used to supplement a program when the cost of the program exceeds the capacity of a county board to provide the program with funds available. Any appropriation made pursuant to this section shall be distributed to the county boards in a manner that takes into account the varying proficiency levels of the students and the capacity of the county board to deliver the needed programs. In order to receive the funding, a county board must apply to the state superintendent. The state board shall promulgate a rule in accordance with the provisions of article three-b, chapter twenty-nine-a of this code that sets forth the manner in which county boards apply for the funding and to implement the other provisions of this section.