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Finding the Fourth Proportional to 12,183.80, 18,261 and 5,600.96

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Solution

The fourth proportional to 12,183.80, 18,261 and 5,600.96 is: 8,394.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.80 : 18,261 = 5,600.96 : x
  2. Step 2: Convert to fraction form
    12,183.80/18,261 = 5,600.96/x
  3. Step 3: Cross multiply
    12,183.80x = 18,261 × 5,600.96
  4. Step 4: Simplify right side
    12,183.80x = 102,279,130.56
  5. Step 5: Solve for x
    x = 102,279,130.56/12,183.80
  6. Step 6: Final answer
    x = 8,394.68

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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.