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Finding the Fourth Proportional to 20,439.32, 30,658.67 and 5,647.91

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Solution

The fourth proportional to 20,439.32, 30,658.67 and 5,647.91 is: 8,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,439.32 : 30,658.67 = 5,647.91 : x
  2. Step 2: Convert to fraction form
    20,439.32/30,658.67 = 5,647.91/x
  3. Step 3: Cross multiply
    20,439.32x = 30,658.67 × 5,647.91
  4. Step 4: Simplify right side
    20,439.32x = 173,157,227.35
  5. Step 5: Solve for x
    x = 173,157,227.35/20,439.32
  6. Step 6: Final answer
    x = 8,471.77

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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.