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Finding the Fourth Proportional to 27,872.67, 38,470.37 and 17,657.10

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Solution

The fourth proportional to 27,872.67, 38,470.37 and 17,657.10 is: 24,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.67 : 38,470.37 = 17,657.10 : x
  2. Step 2: Convert to fraction form
    27,872.67/38,470.37 = 17,657.10/x
  3. Step 3: Cross multiply
    27,872.67x = 38,470.37 × 17,657.10
  4. Step 4: Simplify right side
    27,872.67x = 679,275,170.13
  5. Step 5: Solve for x
    x = 679,275,170.13/27,872.67
  6. Step 6: Final answer
    x = 24,370.65

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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.