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Finding the Fourth Proportional to 12,183.53, 18,277.20 and 5,163.56

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Solution

The fourth proportional to 12,183.53, 18,277.20 and 5,163.56 is: 7,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.53 : 18,277.20 = 5,163.56 : x
  2. Step 2: Convert to fraction form
    12,183.53/18,277.20 = 5,163.56/x
  3. Step 3: Cross multiply
    12,183.53x = 18,277.20 × 5,163.56
  4. Step 4: Simplify right side
    12,183.53x = 94,375,418.83
  5. Step 5: Solve for x
    x = 94,375,418.83/12,183.53
  6. Step 6: Final answer
    x = 7,746.15

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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.