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: 12, 24, ['3749', 'r', '9823', 'Y', 'K', 'V', 'q', 'H', '3273', '3091', '9531', 'E', '2219', '3101', 'P', 'k', 'r', 'a', 'T', 'I', 'j', 'i', '4045', 'K', 'r']
Example Output: 9365

Example Input: 3, 4, ['6203', 'g', '471', 'j', 'o', '9679', 'M', '5459', 'y', '1929', '1649', 'C']
Example Output: 471

Example Input: 3, 5, ['2899', 'K', 'K', '7817', '251', '9609']
Example Output:
8068