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Finding the Fourth Proportional to 20,882.41, 31,330.10 and 6,842.55

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Solution

The fourth proportional to 20,882.41, 31,330.10 and 6,842.55 is: 10,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,882.41 : 31,330.10 = 6,842.55 : x
  2. Step 2: Convert to fraction form
    20,882.41/31,330.10 = 6,842.55/x
  3. Step 3: Cross multiply
    20,882.41x = 31,330.10 × 6,842.55
  4. Step 4: Simplify right side
    20,882.41x = 214,377,775.76
  5. Step 5: Solve for x
    x = 214,377,775.76/20,882.41
  6. Step 6: Final answer
    x = 10,265.95

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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.