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Finding the Fourth Proportional to 12,183.78, 18,277.92 and 3,865.92

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Solution

The fourth proportional to 12,183.78, 18,277.92 and 3,865.92 is: 5,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.78 : 18,277.92 = 3,865.92 : x
  2. Step 2: Convert to fraction form
    12,183.78/18,277.92 = 3,865.92/x
  3. Step 3: Cross multiply
    12,183.78x = 18,277.92 × 3,865.92
  4. Step 4: Simplify right side
    12,183.78x = 70,660,976.49
  5. Step 5: Solve for x
    x = 70,660,976.49/12,183.78
  6. Step 6: Final answer
    x = 5,799.59

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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.