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Finding the Fourth Proportional to 20,331.14, 30,494.90 and 7,182.86

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Solution

The fourth proportional to 20,331.14, 30,494.90 and 7,182.86 is: 10,773.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,331.14 : 30,494.90 = 7,182.86 : x
  2. Step 2: Convert to fraction form
    20,331.14/30,494.90 = 7,182.86/x
  3. Step 3: Cross multiply
    20,331.14x = 30,494.90 × 7,182.86
  4. Step 4: Simplify right side
    20,331.14x = 219,040,462.90
  5. Step 5: Solve for x
    x = 219,040,462.90/20,331.14
  6. Step 6: Final answer
    x = 10,773.65

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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.