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Finding the Fourth Proportional to 11,542.32, 16,035.84 and 11,404.08

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Solution

The fourth proportional to 11,542.32, 16,035.84 and 11,404.08 is: 15,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.32 : 16,035.84 = 11,404.08 : x
  2. Step 2: Convert to fraction form
    11,542.32/16,035.84 = 11,404.08/x
  3. Step 3: Cross multiply
    11,542.32x = 16,035.84 × 11,404.08
  4. Step 4: Simplify right side
    11,542.32x = 182,874,002.23
  5. Step 5: Solve for x
    x = 182,874,002.23/11,542.32
  6. Step 6: Final answer
    x = 15,843.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.