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Finding the Fourth Proportional to 12,123, 18,183.96 and 4,227.34

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Solution

The fourth proportional to 12,123, 18,183.96 and 4,227.34 is: 6,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123 : 18,183.96 = 4,227.34 : x
  2. Step 2: Convert to fraction form
    12,123/18,183.96 = 4,227.34/x
  3. Step 3: Cross multiply
    12,123x = 18,183.96 × 4,227.34
  4. Step 4: Simplify right side
    12,123x = 76,869,781.47
  5. Step 5: Solve for x
    x = 76,869,781.47/12,123
  6. Step 6: Final answer
    x = 6,340.82

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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.