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Finding the Fourth Proportional to 12,183.81, 18,275.84 and 4,286.54

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Solution

The fourth proportional to 12,183.81, 18,275.84 and 4,286.54 is: 6,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.81 : 18,275.84 = 4,286.54 : x
  2. Step 2: Convert to fraction form
    12,183.81/18,275.84 = 4,286.54/x
  3. Step 3: Cross multiply
    12,183.81x = 18,275.84 × 4,286.54
  4. Step 4: Simplify right side
    12,183.81x = 78,340,097.76
  5. Step 5: Solve for x
    x = 78,340,097.76/12,183.81
  6. Step 6: Final answer
    x = 6,429.85

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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.