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: 6, 18, ['5051', 'g', 'C', 'p', 'O', 'i', 'E', '4947', '5345', '8453', '4967', '3749', 'F', 'P', '5045', 'o', '5605', 'H', '9319', '5471', 'F', 'B', 't', 'H']
Example Output: 38111

Example Input: 25, 27, ['6411', '2467', 'y', '4973', 'C', '8853', 'H', 'G', 'a', 'N', '3759', '7803', '5403', 'Z', '4047', '6283', 'v', '5437', 'p', 't', 'S', '7605', 's', 'Z', '7537', 'Y', 'U', 'W', '2147', 'K']
Example Output: 7537

Example Input: 3, 10, ['S', '7865', 'X', 'Q', '7865', 'U', '6739', 'W', '5823', '1569', '8057', '8869', 'h', 'P', 'p', 'W', 'b', 'o', '7561']
Example Output:
21996