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Finding the Fourth Proportional to 27,878.26, 38,470.96 and 15,131.17

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Solution

The fourth proportional to 27,878.26, 38,470.96 and 15,131.17 is: 20,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.26 : 38,470.96 = 15,131.17 : x
  2. Step 2: Convert to fraction form
    27,878.26/38,470.96 = 15,131.17/x
  3. Step 3: Cross multiply
    27,878.26x = 38,470.96 × 15,131.17
  4. Step 4: Simplify right side
    27,878.26x = 582,110,514.80
  5. Step 5: Solve for x
    x = 582,110,514.80/27,878.26
  6. Step 6: Final answer
    x = 20,880.45

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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.