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.

4, 5, ['3365', 'x', '3373', '8905', '1527', '9433', '2907', 'j', 'x', '7201', '307', '4507', '785', '6749', '4419', '2743']
10432

2, 6, ['m', 'q', '4069', '4487', 'c', '4639']
13195

2, 8, ['5417', 'T', '6195', 'w', 'K', '1261', '3525', '7785', 'J']

18766