In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.

Example Input: 10, 22, ['4049', '2745', 'g', 'T', 'N', 'u', 'Q', '3687', '5871', 'i', '9139', '585', '8435', '5761', '5825', '5909', 'f', '6317', '8227', '4051', 'E', '5167', '6953', 'g', '4113', '2493']
Example Output: 59416

Example Input: 3, 18, ['h', 'x', '371', 'i', '8545', '7767', '5033', '1041', 'A', '4643', 'L', '187', '5017', 'x', 'R', '7891', '3919', '9721', '8625', '5817', 'D', '4825', 'S']
Example Output: 54135

Example Input: 17, 22, ['4123', '6299', '2781', '759', 'f', 'A', 'X', '2549', 'K', '8119', '8725', 'e', 'I', 'S', '1429', 'd', '8051', 'Q', 'y', '1045', '763', 't', 'J', 'J', '169', 'b', '721']
Example Output:
9859