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, 20, ['x', 'z', '271', 'M', '1727', '9453', '4017', 'o', '8109', 'X', '5989', '275', 'V', '3019', 'Z', 'K', 'L', '3885', '8699', '6241']
Example Output: 49687

Example Input: 4, 5, ['2167', '7427', 'i', '7289', 'I', '3935', 'o', '6443', 'T', 'e', 'K', '2979', '2025', '5819']
Example Output: 7289

Example Input: 1, 3, ['9487', '2941', '9015', 'k', '6229', 'o', 'j', '759', 'v', 's', '7503', 'v', 'a', 'N']
Example Output:
21443