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Finding the Fourth Proportional to 27,884.96, 38,481.27 and 15,138.14

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Solution

The fourth proportional to 27,884.96, 38,481.27 and 15,138.14 is: 20,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.96 : 38,481.27 = 15,138.14 : x
  2. Step 2: Convert to fraction form
    27,884.96/38,481.27 = 15,138.14/x
  3. Step 3: Cross multiply
    27,884.96x = 38,481.27 × 15,138.14
  4. Step 4: Simplify right side
    27,884.96x = 582,534,660.23
  5. Step 5: Solve for x
    x = 582,534,660.23/27,884.96
  6. Step 6: Final answer
    x = 20,890.64

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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.