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Finding the Fourth Proportional to 12,016.28, 18,024.48 and 7,882.47

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Solution

The fourth proportional to 12,016.28, 18,024.48 and 7,882.47 is: 11,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.28 : 18,024.48 = 7,882.47 : x
  2. Step 2: Convert to fraction form
    12,016.28/18,024.48 = 7,882.47/x
  3. Step 3: Cross multiply
    12,016.28x = 18,024.48 × 7,882.47
  4. Step 4: Simplify right side
    12,016.28x = 142,077,422.87
  5. Step 5: Solve for x
    x = 142,077,422.87/12,016.28
  6. Step 6: Final answer
    x = 11,823.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.