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Finding the Fourth Proportional to 16,313, 22,513.86 and 9,689

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Solution

The fourth proportional to 16,313, 22,513.86 and 9,689 is: 13,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313 : 22,513.86 = 9,689 : x
  2. Step 2: Convert to fraction form
    16,313/22,513.86 = 9,689/x
  3. Step 3: Cross multiply
    16,313x = 22,513.86 × 9,689
  4. Step 4: Simplify right side
    16,313x = 218,136,789.54
  5. Step 5: Solve for x
    x = 218,136,789.54/16,313
  6. Step 6: Final answer
    x = 13,371.96

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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.