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Finding the Fourth Proportional to 24,250, 36,344.16 and 10,908.73

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Solution

The fourth proportional to 24,250, 36,344.16 and 10,908.73 is: 16,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,250 : 36,344.16 = 10,908.73 : x
  2. Step 2: Convert to fraction form
    24,250/36,344.16 = 10,908.73/x
  3. Step 3: Cross multiply
    24,250x = 36,344.16 × 10,908.73
  4. Step 4: Simplify right side
    24,250x = 396,468,573.97
  5. Step 5: Solve for x
    x = 396,468,573.97/24,250
  6. Step 6: Final answer
    x = 16,349.22

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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.