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Finding the Fourth Proportional to 19,997.38, 27,581.47 and 17,731.38

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Solution

The fourth proportional to 19,997.38, 27,581.47 and 17,731.38 is: 24,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.38 : 27,581.47 = 17,731.38 : x
  2. Step 2: Convert to fraction form
    19,997.38/27,581.47 = 17,731.38/x
  3. Step 3: Cross multiply
    19,997.38x = 27,581.47 × 17,731.38
  4. Step 4: Simplify right side
    19,997.38x = 489,057,525.53
  5. Step 5: Solve for x
    x = 489,057,525.53/19,997.38
  6. Step 6: Final answer
    x = 24,456.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.