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Finding the Fourth Proportional to 16,413.72, 22,646.43 and 9,696.39

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Solution

The fourth proportional to 16,413.72, 22,646.43 and 9,696.39 is: 13,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413.72 : 22,646.43 = 9,696.39 : x
  2. Step 2: Convert to fraction form
    16,413.72/22,646.43 = 9,696.39/x
  3. Step 3: Cross multiply
    16,413.72x = 22,646.43 × 9,696.39
  4. Step 4: Simplify right side
    16,413.72x = 219,588,617.39
  5. Step 5: Solve for x
    x = 219,588,617.39/16,413.72
  6. Step 6: Final answer
    x = 13,378.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.