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Finding the Fourth Proportional to 24,451.92, 36,652.14 and 11,313

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Solution

The fourth proportional to 24,451.92, 36,652.14 and 11,313 is: 16,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,451.92 : 36,652.14 = 11,313 : x
  2. Step 2: Convert to fraction form
    24,451.92/36,652.14 = 11,313/x
  3. Step 3: Cross multiply
    24,451.92x = 36,652.14 × 11,313
  4. Step 4: Simplify right side
    24,451.92x = 414,645,659.82
  5. Step 5: Solve for x
    x = 414,645,659.82/24,451.92
  6. Step 6: Final answer
    x = 16,957.59

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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.