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Finding the Fourth Proportional to 27,241.50, 40,841.97 and 11,451.16

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Solution

The fourth proportional to 27,241.50, 40,841.97 and 11,451.16 is: 17,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,241.50 : 40,841.97 = 11,451.16 : x
  2. Step 2: Convert to fraction form
    27,241.50/40,841.97 = 11,451.16/x
  3. Step 3: Cross multiply
    27,241.50x = 40,841.97 × 11,451.16
  4. Step 4: Simplify right side
    27,241.50x = 467,687,933.19
  5. Step 5: Solve for x
    x = 467,687,933.19/27,241.50
  6. Step 6: Final answer
    x = 17,168.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.