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Finding the Fourth Proportional to 15,531.57, 23,296.86 and 9,249.54

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Solution

The fourth proportional to 15,531.57, 23,296.86 and 9,249.54 is: 13,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.57 : 23,296.86 = 9,249.54 : x
  2. Step 2: Convert to fraction form
    15,531.57/23,296.86 = 9,249.54/x
  3. Step 3: Cross multiply
    15,531.57x = 23,296.86 × 9,249.54
  4. Step 4: Simplify right side
    15,531.57x = 215,485,238.44
  5. Step 5: Solve for x
    x = 215,485,238.44/15,531.57
  6. Step 6: Final answer
    x = 13,874.02

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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.