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Finding the Fourth Proportional to 27,877.94, 38,470.91 and 15,131.15

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Solution

The fourth proportional to 27,877.94, 38,470.91 and 15,131.15 is: 20,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,877.94 : 38,470.91 = 15,131.15 : x
  2. Step 2: Convert to fraction form
    27,877.94/38,470.91 = 15,131.15/x
  3. Step 3: Cross multiply
    27,877.94x = 38,470.91 × 15,131.15
  4. Step 4: Simplify right side
    27,877.94x = 582,109,109.85
  5. Step 5: Solve for x
    x = 582,109,109.85/27,877.94
  6. Step 6: Final answer
    x = 20,880.64

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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.