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Finding the Fourth Proportional to 15,152.64, 22,729.32 and 5,791.44

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Solution

The fourth proportional to 15,152.64, 22,729.32 and 5,791.44 is: 8,687.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.64 : 22,729.32 = 5,791.44 : x
  2. Step 2: Convert to fraction form
    15,152.64/22,729.32 = 5,791.44/x
  3. Step 3: Cross multiply
    15,152.64x = 22,729.32 × 5,791.44
  4. Step 4: Simplify right side
    15,152.64x = 131,635,493.02
  5. Step 5: Solve for x
    x = 131,635,493.02/15,152.64
  6. Step 6: Final answer
    x = 8,687.30

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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.