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Finding the Fourth Proportional to 22,819.20, 34,170.48 and 20,214.24

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Solution

The fourth proportional to 22,819.20, 34,170.48 and 20,214.24 is: 30,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,819.20 : 34,170.48 = 20,214.24 : x
  2. Step 2: Convert to fraction form
    22,819.20/34,170.48 = 20,214.24/x
  3. Step 3: Cross multiply
    22,819.20x = 34,170.48 × 20,214.24
  4. Step 4: Simplify right side
    22,819.20x = 690,730,283.64
  5. Step 5: Solve for x
    x = 690,730,283.64/22,819.20
  6. Step 6: Final answer
    x = 30,269.70

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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.