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Finding the Fourth Proportional to 20,632.38, 30,948.97 and 6,781.38

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Solution

The fourth proportional to 20,632.38, 30,948.97 and 6,781.38 is: 10,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.38 : 30,948.97 = 6,781.38 : x
  2. Step 2: Convert to fraction form
    20,632.38/30,948.97 = 6,781.38/x
  3. Step 3: Cross multiply
    20,632.38x = 30,948.97 × 6,781.38
  4. Step 4: Simplify right side
    20,632.38x = 209,876,726.18
  5. Step 5: Solve for x
    x = 209,876,726.18/20,632.38
  6. Step 6: Final answer
    x = 10,172.20

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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.