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Finding the Fourth Proportional to 12,166.44, 18,249 and 3,732.96

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Solution

The fourth proportional to 12,166.44, 18,249 and 3,732.96 is: 5,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.44 : 18,249 = 3,732.96 : x
  2. Step 2: Convert to fraction form
    12,166.44/18,249 = 3,732.96/x
  3. Step 3: Cross multiply
    12,166.44x = 18,249 × 3,732.96
  4. Step 4: Simplify right side
    12,166.44x = 68,122,787.04
  5. Step 5: Solve for x
    x = 68,122,787.04/12,166.44
  6. Step 6: Final answer
    x = 5,599.24

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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.