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Finding the Fourth Proportional to 27,699.18, 38,229.24 and 17,617.14

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Solution

The fourth proportional to 27,699.18, 38,229.24 and 17,617.14 is: 24,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,699.18 : 38,229.24 = 17,617.14 : x
  2. Step 2: Convert to fraction form
    27,699.18/38,229.24 = 17,617.14/x
  3. Step 3: Cross multiply
    27,699.18x = 38,229.24 × 17,617.14
  4. Step 4: Simplify right side
    27,699.18x = 673,489,873.17
  5. Step 5: Solve for x
    x = 673,489,873.17/27,699.18
  6. Step 6: Final answer
    x = 24,314.43

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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.