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: 2, 11, ['8237', '8149', '7077', '2199', '7839', 'c', 'j', 'Y', '845', '2273', 'n', 'Q']
Example Output: 28382

Example Input: 16, 17, ['Z', '8799', 'Z', 'P', '3413', 'X', '939', 's', 'G', 'x', '6911', 'v', '1183', '3507', 'r', 'C', 'k', 'Z', '4247']
Example Output: 0

Example Input: 1, 1, ['5175', 'K', 'I', 'f', '8223', 'h', '4967', '6177', 'Y', '8945', 'S', '8385', '5553', 'K', 'P', '5423', 'V', '7603']
Example Output:
5175