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Finding the Fourth Proportional to 15,149.32, 22,729.46 and 7,757.26

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Solution

The fourth proportional to 15,149.32, 22,729.46 and 7,757.26 is: 11,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.32 : 22,729.46 = 7,757.26 : x
  2. Step 2: Convert to fraction form
    15,149.32/22,729.46 = 7,757.26/x
  3. Step 3: Cross multiply
    15,149.32x = 22,729.46 × 7,757.26
  4. Step 4: Simplify right side
    15,149.32x = 176,318,235.27
  5. Step 5: Solve for x
    x = 176,318,235.27/15,149.32
  6. Step 6: Final answer
    x = 11,638.69

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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.