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Finding the Fourth Proportional to 20,438.31, 30,640.92 and 6,391.10

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Solution

The fourth proportional to 20,438.31, 30,640.92 and 6,391.10 is: 9,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438.31 : 30,640.92 = 6,391.10 : x
  2. Step 2: Convert to fraction form
    20,438.31/30,640.92 = 6,391.10/x
  3. Step 3: Cross multiply
    20,438.31x = 30,640.92 × 6,391.10
  4. Step 4: Simplify right side
    20,438.31x = 195,829,183.81
  5. Step 5: Solve for x
    x = 195,829,183.81/20,438.31
  6. Step 6: Final answer
    x = 9,581.48

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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.