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Finding the Fourth Proportional to 27,882.68, 38,478.14 and 15,135.87

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Solution

The fourth proportional to 27,882.68, 38,478.14 and 15,135.87 is: 20,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.68 : 38,478.14 = 15,135.87 : x
  2. Step 2: Convert to fraction form
    27,882.68/38,478.14 = 15,135.87/x
  3. Step 3: Cross multiply
    27,882.68x = 38,478.14 × 15,135.87
  4. Step 4: Simplify right side
    27,882.68x = 582,400,049.20
  5. Step 5: Solve for x
    x = 582,400,049.20/27,882.68
  6. Step 6: Final answer
    x = 20,887.52

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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.