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Finding the Fourth Proportional to 22,272.92, 30,737.38 and 12,201.96

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Solution

The fourth proportional to 22,272.92, 30,737.38 and 12,201.96 is: 16,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.92 : 30,737.38 = 12,201.96 : x
  2. Step 2: Convert to fraction form
    22,272.92/30,737.38 = 12,201.96/x
  3. Step 3: Cross multiply
    22,272.92x = 30,737.38 × 12,201.96
  4. Step 4: Simplify right side
    22,272.92x = 375,056,281.26
  5. Step 5: Solve for x
    x = 375,056,281.26/22,272.92
  6. Step 6: Final answer
    x = 16,839.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.