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Finding the Fourth Proportional to 20,301.22, 30,451.10 and 9,200.13

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Solution

The fourth proportional to 20,301.22, 30,451.10 and 9,200.13 is: 13,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,301.22 : 30,451.10 = 9,200.13 : x
  2. Step 2: Convert to fraction form
    20,301.22/30,451.10 = 9,200.13/x
  3. Step 3: Cross multiply
    20,301.22x = 30,451.10 × 9,200.13
  4. Step 4: Simplify right side
    20,301.22x = 280,154,078.64
  5. Step 5: Solve for x
    x = 280,154,078.64/20,301.22
  6. Step 6: Final answer
    x = 13,799.87

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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.