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Finding the Fourth Proportional to 16,940, 23,377.92 and 9,865.28

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Solution

The fourth proportional to 16,940, 23,377.92 and 9,865.28 is: 13,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 23,377.92 = 9,865.28 : x
  2. Step 2: Convert to fraction form
    16,940/23,377.92 = 9,865.28/x
  3. Step 3: Cross multiply
    16,940x = 23,377.92 × 9,865.28
  4. Step 4: Simplify right side
    16,940x = 230,629,726.62
  5. Step 5: Solve for x
    x = 230,629,726.62/16,940
  6. Step 6: Final answer
    x = 13,614.51

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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.