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Finding the Fourth Proportional to 20,195.27, 30,348.48 and 10,842.20

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Solution

The fourth proportional to 20,195.27, 30,348.48 and 10,842.20 is: 16,293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.27 : 30,348.48 = 10,842.20 : x
  2. Step 2: Convert to fraction form
    20,195.27/30,348.48 = 10,842.20/x
  3. Step 3: Cross multiply
    20,195.27x = 30,348.48 × 10,842.20
  4. Step 4: Simplify right side
    20,195.27x = 329,044,289.86
  5. Step 5: Solve for x
    x = 329,044,289.86/20,195.27
  6. Step 6: Final answer
    x = 16,293.14

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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.