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Finding the Fourth Proportional to 20,691.32, 31,027.87 and 5,896.88

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Solution

The fourth proportional to 20,691.32, 31,027.87 and 5,896.88 is: 8,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,691.32 : 31,027.87 = 5,896.88 : x
  2. Step 2: Convert to fraction form
    20,691.32/31,027.87 = 5,896.88/x
  3. Step 3: Cross multiply
    20,691.32x = 31,027.87 × 5,896.88
  4. Step 4: Simplify right side
    20,691.32x = 182,967,626.05
  5. Step 5: Solve for x
    x = 182,967,626.05/20,691.32
  6. Step 6: Final answer
    x = 8,842.72

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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.