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Finding the Fourth Proportional to 27,876.56, 38,469.84 and 15,129.76

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Solution

The fourth proportional to 27,876.56, 38,469.84 and 15,129.76 is: 20,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.56 : 38,469.84 = 15,129.76 : x
  2. Step 2: Convert to fraction form
    27,876.56/38,469.84 = 15,129.76/x
  3. Step 3: Cross multiply
    27,876.56x = 38,469.84 × 15,129.76
  4. Step 4: Simplify right side
    27,876.56x = 582,039,446.44
  5. Step 5: Solve for x
    x = 582,039,446.44/27,876.56
  6. Step 6: Final answer
    x = 20,879.17

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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.