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: 19, 23, ['8277', '3337', 'G', 'N', '2365', 'S', 'Y', 'l', '5871', '2373', '7441', '2095', 'N', 'J', 'Q', '5493', 'Q', 'g', 'E', 'i', '4825', '5543', 'i', '1737', 'y', '1463', 'r', 'F']
Example Output: 10368

Example Input: 11, 20, ['8031', 'v', 'p', '4015', 'v', '3299', '4143', '445', 'I', 'L', 'm', 'u', '7963', '8085', 'c', 'k', 'I', 'A', '8433', '1897', 'g', 'x', '5935', '5195', 'W', 'j', 'A']
Example Output: 26378

Example Input: 10, 10, ['4327', 'W', 'X', '5435', 'Q', 'r', 'T', 'T', 'u', '25']
Example Output:
25