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Finding the Fourth Proportional to 12,016.29, 18,024.50 and 7,882.55

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Solution

The fourth proportional to 12,016.29, 18,024.50 and 7,882.55 is: 11,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.29 : 18,024.50 = 7,882.55 : x
  2. Step 2: Convert to fraction form
    12,016.29/18,024.50 = 7,882.55/x
  3. Step 3: Cross multiply
    12,016.29x = 18,024.50 × 7,882.55
  4. Step 4: Simplify right side
    12,016.29x = 142,079,022.48
  5. Step 5: Solve for x
    x = 142,079,022.48/12,016.29
  6. Step 6: Final answer
    x = 11,823.87

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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.