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.

3, 4, ['v', 't', '4357', '1303']
5660

1, 7, ['173', '5875', 'C', '7417', '3565', '1949', '537', '7707', 'o', 'y']
19516

2, 12, ['5733', '8827', '8813', '8831', '7057', '9179', 'Q', '7253', '7545', '6029', '4349', 'F', '871', 'X']

67883