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Finding the Fourth Proportional to 16,229.76, 24,344.64 and 3,917.76

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Solution

The fourth proportional to 16,229.76, 24,344.64 and 3,917.76 is: 5,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.76 : 24,344.64 = 3,917.76 : x
  2. Step 2: Convert to fraction form
    16,229.76/24,344.64 = 3,917.76/x
  3. Step 3: Cross multiply
    16,229.76x = 24,344.64 × 3,917.76
  4. Step 4: Simplify right side
    16,229.76x = 95,376,456.81
  5. Step 5: Solve for x
    x = 95,376,456.81/16,229.76
  6. Step 6: Final answer
    x = 5,876.64

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1.5x scale

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.