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Finding the Fourth Proportional to 22,634, 33,951.92 and 10,781.68

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Solution

The fourth proportional to 22,634, 33,951.92 and 10,781.68 is: 16,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,634 : 33,951.92 = 10,781.68 : x
  2. Step 2: Convert to fraction form
    22,634/33,951.92 = 10,781.68/x
  3. Step 3: Cross multiply
    22,634x = 33,951.92 × 10,781.68
  4. Step 4: Simplify right side
    22,634x = 366,058,736.83
  5. Step 5: Solve for x
    x = 366,058,736.83/22,634
  6. Step 6: Final answer
    x = 16,172.96

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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.