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Finding the Fourth Proportional to 20,296.22, 30,454.07 and 7,154.78

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Solution

The fourth proportional to 20,296.22, 30,454.07 and 7,154.78 is: 10,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.22 : 30,454.07 = 7,154.78 : x
  2. Step 2: Convert to fraction form
    20,296.22/30,454.07 = 7,154.78/x
  3. Step 3: Cross multiply
    20,296.22x = 30,454.07 × 7,154.78
  4. Step 4: Simplify right side
    20,296.22x = 217,891,982.91
  5. Step 5: Solve for x
    x = 217,891,982.91/20,296.22
  6. Step 6: Final answer
    x = 10,735.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.