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Finding the Fourth Proportional to 27,617.26, 38,112.22 and 15,042

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Solution

The fourth proportional to 27,617.26, 38,112.22 and 15,042 is: 20,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.26 : 38,112.22 = 15,042 : x
  2. Step 2: Convert to fraction form
    27,617.26/38,112.22 = 15,042/x
  3. Step 3: Cross multiply
    27,617.26x = 38,112.22 × 15,042
  4. Step 4: Simplify right side
    27,617.26x = 573,284,013.24
  5. Step 5: Solve for x
    x = 573,284,013.24/27,617.26
  6. Step 6: Final answer
    x = 20,758.18

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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.