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Finding the Fourth Proportional to 16,591.68, 22,893.92 and 9,517.12

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Solution

The fourth proportional to 16,591.68, 22,893.92 and 9,517.12 is: 13,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.68 : 22,893.92 = 9,517.12 : x
  2. Step 2: Convert to fraction form
    16,591.68/22,893.92 = 9,517.12/x
  3. Step 3: Cross multiply
    16,591.68x = 22,893.92 × 9,517.12
  4. Step 4: Simplify right side
    16,591.68x = 217,884,183.91
  5. Step 5: Solve for x
    x = 217,884,183.91/16,591.68
  6. Step 6: Final answer
    x = 13,132.14

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1.5x scale

Why These Related Problems?

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