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Finding the Fourth Proportional to 20,221.20, 30,331.80 and 19,414.80

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Solution

The fourth proportional to 20,221.20, 30,331.80 and 19,414.80 is: 29,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.20 : 30,331.80 = 19,414.80 : x
  2. Step 2: Convert to fraction form
    20,221.20/30,331.80 = 19,414.80/x
  3. Step 3: Cross multiply
    20,221.20x = 30,331.80 × 19,414.80
  4. Step 4: Simplify right side
    20,221.20x = 588,885,830.64
  5. Step 5: Solve for x
    x = 588,885,830.64/20,221.20
  6. Step 6: Final answer
    x = 29,122.20

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1.5x scale

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.