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: 7, 12, ['3713', 'N', '7191', '73', '4595', '6537', 'H', 'v', 'H', '8531', 'k', 'H', 's', 'x', 'R', 'd', '507', 'C', '9649', '8875', '7931']
Example Output: 8531

Example Input: 14, 26, ['U', 'D', '5391', '2975', 'b', 'b', '8741', '8991', '9083', '5401', '481', 'q', 'j', '8757', 'C', '2027', '6683', '5667', 'R', '631', 'm', '3743', '9769', '1039', '923', 'Q', '4373', '7451']
Example Output: 39239

Example Input: 2, 5, ['9153', 'S', '605', '2951', 'I', 'o', '4995', '2895']
Example Output:
3556