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Finding the Fourth Proportional to 27,351.80, 41,024.82 and 11,767.16

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Solution

The fourth proportional to 27,351.80, 41,024.82 and 11,767.16 is: 17,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,351.80 : 41,024.82 = 11,767.16 : x
  2. Step 2: Convert to fraction form
    27,351.80/41,024.82 = 11,767.16/x
  3. Step 3: Cross multiply
    27,351.80x = 41,024.82 × 11,767.16
  4. Step 4: Simplify right side
    27,351.80x = 482,745,620.91
  5. Step 5: Solve for x
    x = 482,745,620.91/27,351.80
  6. Step 6: Final answer
    x = 17,649.50

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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.