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, 14, ['707', 'L', '8503', 'x', 'Y', '921', '8415', '6449', '5711', 'd', '591', 'd', '3827', '5569', 'g', 'U', 'v', '7781', 'E', 'z', '4751', '8541', 'c', 'P', '8037', 'X']
Example Output: 31483

Example Input: 6, 8, ['s', 'X', 'a', 'L', 'N', 'J', '1893', '4909', '349', '7679', '4479', 'i', '7345']
Example Output: 6802

Example Input: 15, 16, ['2519', 'b', 'N', 'B', '6199', 'F', '9287', 'r', 'W', 'c', '1117', 'h', 'Q', 'K', 'x', 'Z']
Example Output:
0