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Finding the Fourth Proportional to 20,400.50, 30,572.04 and 16,221.97

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Solution

The fourth proportional to 20,400.50, 30,572.04 and 16,221.97 is: 24,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.50 : 30,572.04 = 16,221.97 : x
  2. Step 2: Convert to fraction form
    20,400.50/30,572.04 = 16,221.97/x
  3. Step 3: Cross multiply
    20,400.50x = 30,572.04 × 16,221.97
  4. Step 4: Simplify right side
    20,400.50x = 495,938,481.75
  5. Step 5: Solve for x
    x = 495,938,481.75/20,400.50
  6. Step 6: Final answer
    x = 24,310.11

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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.