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Finding the Fourth Proportional to 20,766.25, 31,149.38 and 6,915.25

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Solution

The fourth proportional to 20,766.25, 31,149.38 and 6,915.25 is: 10,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,766.25 : 31,149.38 = 6,915.25 : x
  2. Step 2: Convert to fraction form
    20,766.25/31,149.38 = 6,915.25/x
  3. Step 3: Cross multiply
    20,766.25x = 31,149.38 × 6,915.25
  4. Step 4: Simplify right side
    20,766.25x = 215,405,750.05
  5. Step 5: Solve for x
    x = 215,405,750.05/20,766.25
  6. Step 6: Final answer
    x = 10,372.88

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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.