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Finding the Fourth Proportional to 27,842.62, 38,401.14 and 17,238.10

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Solution

The fourth proportional to 27,842.62, 38,401.14 and 17,238.10 is: 23,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842.62 : 38,401.14 = 17,238.10 : x
  2. Step 2: Convert to fraction form
    27,842.62/38,401.14 = 17,238.10/x
  3. Step 3: Cross multiply
    27,842.62x = 38,401.14 × 17,238.10
  4. Step 4: Simplify right side
    27,842.62x = 661,962,691.43
  5. Step 5: Solve for x
    x = 661,962,691.43/27,842.62
  6. Step 6: Final answer
    x = 23,775.16

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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.