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Finding the Fourth Proportional to 20,882.75, 31,325.18 and 6,092.78

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Solution

The fourth proportional to 20,882.75, 31,325.18 and 6,092.78 is: 9,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.75 : 31,325.18 = 6,092.78 : x
  2. Step 2: Convert to fraction form
    20,882.75/31,325.18 = 6,092.78/x
  3. Step 3: Cross multiply
    20,882.75x = 31,325.18 × 6,092.78
  4. Step 4: Simplify right side
    20,882.75x = 190,857,243.11
  5. Step 5: Solve for x
    x = 190,857,243.11/20,882.75
  6. Step 6: Final answer
    x = 9,139.47

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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.