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Finding the Fourth Proportional to 27,997.92, 41,984.10 and 12,202.29

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Solution

The fourth proportional to 27,997.92, 41,984.10 and 12,202.29 is: 18,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.92 : 41,984.10 = 12,202.29 : x
  2. Step 2: Convert to fraction form
    27,997.92/41,984.10 = 12,202.29/x
  3. Step 3: Cross multiply
    27,997.92x = 41,984.10 × 12,202.29
  4. Step 4: Simplify right side
    27,997.92x = 512,302,163.59
  5. Step 5: Solve for x
    x = 512,302,163.59/27,997.92
  6. Step 6: Final answer
    x = 18,297.87

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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.