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Finding the Fourth Proportional to 12,083.14, 18,123 and 3,761.20

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Solution

The fourth proportional to 12,083.14, 18,123 and 3,761.20 is: 5,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.14 : 18,123 = 3,761.20 : x
  2. Step 2: Convert to fraction form
    12,083.14/18,123 = 3,761.20/x
  3. Step 3: Cross multiply
    12,083.14x = 18,123 × 3,761.20
  4. Step 4: Simplify right side
    12,083.14x = 68,164,227.60
  5. Step 5: Solve for x
    x = 68,164,227.60/12,083.14
  6. Step 6: Final answer
    x = 5,641.27

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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.