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Finding the Fourth Proportional to 27,451.92, 41,170.24 and 13,404.32

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Solution

The fourth proportional to 27,451.92, 41,170.24 and 13,404.32 is: 20,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451.92 : 41,170.24 = 13,404.32 : x
  2. Step 2: Convert to fraction form
    27,451.92/41,170.24 = 13,404.32/x
  3. Step 3: Cross multiply
    27,451.92x = 41,170.24 × 13,404.32
  4. Step 4: Simplify right side
    27,451.92x = 551,859,071.44
  5. Step 5: Solve for x
    x = 551,859,071.44/27,451.92
  6. Step 6: Final answer
    x = 20,102.75

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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.