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Finding the Fourth Proportional to 24,753.92, 37,132.97 and 8,113.86

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Solution

The fourth proportional to 24,753.92, 37,132.97 and 8,113.86 is: 12,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,753.92 : 37,132.97 = 8,113.86 : x
  2. Step 2: Convert to fraction form
    24,753.92/37,132.97 = 8,113.86/x
  3. Step 3: Cross multiply
    24,753.92x = 37,132.97 × 8,113.86
  4. Step 4: Simplify right side
    24,753.92x = 301,291,679.39
  5. Step 5: Solve for x
    x = 301,291,679.39/24,753.92
  6. Step 6: Final answer
    x = 12,171.48

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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.