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Finding the Fourth Proportional to 16,612, 24,924.24 and 6,753.76

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Solution

The fourth proportional to 16,612, 24,924.24 and 6,753.76 is: 10,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612 : 24,924.24 = 6,753.76 : x
  2. Step 2: Convert to fraction form
    16,612/24,924.24 = 6,753.76/x
  3. Step 3: Cross multiply
    16,612x = 24,924.24 × 6,753.76
  4. Step 4: Simplify right side
    16,612x = 168,332,335.14
  5. Step 5: Solve for x
    x = 168,332,335.14/16,612
  6. Step 6: Final answer
    x = 10,133.18

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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.