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Finding the Fourth Proportional to 20,422.92, 30,635.38 and 5,631.50

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Solution

The fourth proportional to 20,422.92, 30,635.38 and 5,631.50 is: 8,447.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.92 : 30,635.38 = 5,631.50 : x
  2. Step 2: Convert to fraction form
    20,422.92/30,635.38 = 5,631.50/x
  3. Step 3: Cross multiply
    20,422.92x = 30,635.38 × 5,631.50
  4. Step 4: Simplify right side
    20,422.92x = 172,523,142.47
  5. Step 5: Solve for x
    x = 172,523,142.47/20,422.92
  6. Step 6: Final answer
    x = 8,447.53

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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.