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Finding the Fourth Proportional to 15,691.92, 23,549.28 and 5,832.64

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Solution

The fourth proportional to 15,691.92, 23,549.28 and 5,832.64 is: 8,753.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.92 : 23,549.28 = 5,832.64 : x
  2. Step 2: Convert to fraction form
    15,691.92/23,549.28 = 5,832.64/x
  3. Step 3: Cross multiply
    15,691.92x = 23,549.28 × 5,832.64
  4. Step 4: Simplify right side
    15,691.92x = 137,354,472.50
  5. Step 5: Solve for x
    x = 137,354,472.50/15,691.92
  6. Step 6: Final answer
    x = 8,753.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.