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Finding the Fourth Proportional to 31,662.14, 43,694.22 and 17,514.92

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Solution

The fourth proportional to 31,662.14, 43,694.22 and 17,514.92 is: 24,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,662.14 : 43,694.22 = 17,514.92 : x
  2. Step 2: Convert to fraction form
    31,662.14/43,694.22 = 17,514.92/x
  3. Step 3: Cross multiply
    31,662.14x = 43,694.22 × 17,514.92
  4. Step 4: Simplify right side
    31,662.14x = 765,300,767.76
  5. Step 5: Solve for x
    x = 765,300,767.76/31,662.14
  6. Step 6: Final answer
    x = 24,170.85

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