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Finding the Fourth Proportional to 16,874.92, 23,286.92 and 9,321.12

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Solution

The fourth proportional to 16,874.92, 23,286.92 and 9,321.12 is: 12,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.92 : 23,286.92 = 9,321.12 : x
  2. Step 2: Convert to fraction form
    16,874.92/23,286.92 = 9,321.12/x
  3. Step 3: Cross multiply
    16,874.92x = 23,286.92 × 9,321.12
  4. Step 4: Simplify right side
    16,874.92x = 217,060,082.62
  5. Step 5: Solve for x
    x = 217,060,082.62/16,874.92
  6. Step 6: Final answer
    x = 12,862.88

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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.