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: 16, 20, ['7527', '5121', 'Q', '4585', '9735', 'Y', 'e', 'p', '755', '8605', 'B', 'O', 'X', '3887', 'M', '8347', '2391', 'v', 'F', '5509', 'e', 'g', 'm', 'j', 'P', 'J']
Example Output: 16247

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

Example Input: 5, 7, ['8255', 'J', '6943', '6233', 'j', '5551', '1807', 'b', '7155', '6555', '6197', '1337', 'Y']
Example Output:
7358