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Finding the Fourth Proportional to 20,437.38, 30,655.76 and 5,645.97

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Solution

The fourth proportional to 20,437.38, 30,655.76 and 5,645.97 is: 8,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,437.38 : 30,655.76 = 5,645.97 : x
  2. Step 2: Convert to fraction form
    20,437.38/30,655.76 = 5,645.97/x
  3. Step 3: Cross multiply
    20,437.38x = 30,655.76 × 5,645.97
  4. Step 4: Simplify right side
    20,437.38x = 173,081,333.89
  5. Step 5: Solve for x
    x = 173,081,333.89/20,437.38
  6. Step 6: Final answer
    x = 8,468.86

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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.