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Finding the Fourth Proportional to 12,183.68, 18,251.16 and 5,600.84

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Solution

The fourth proportional to 12,183.68, 18,251.16 and 5,600.84 is: 8,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.68 : 18,251.16 = 5,600.84 : x
  2. Step 2: Convert to fraction form
    12,183.68/18,251.16 = 5,600.84/x
  3. Step 3: Cross multiply
    12,183.68x = 18,251.16 × 5,600.84
  4. Step 4: Simplify right side
    12,183.68x = 102,221,826.97
  5. Step 5: Solve for x
    x = 102,221,826.97/12,183.68
  6. Step 6: Final answer
    x = 8,390.06

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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.