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Finding the Fourth Proportional to 12,183.89, 18,276.50 and 3,864.54

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Solution

The fourth proportional to 12,183.89, 18,276.50 and 3,864.54 is: 5,797.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.89 : 18,276.50 = 3,864.54 : x
  2. Step 2: Convert to fraction form
    12,183.89/18,276.50 = 3,864.54/x
  3. Step 3: Cross multiply
    12,183.89x = 18,276.50 × 3,864.54
  4. Step 4: Simplify right side
    12,183.89x = 70,630,245.99
  5. Step 5: Solve for x
    x = 70,630,245.99/12,183.89
  6. Step 6: Final answer
    x = 5,797.02

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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.