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Finding the Fourth Proportional to 12,105.33, 18,165 and 5,084.73

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Solution

The fourth proportional to 12,105.33, 18,165 and 5,084.73 is: 7,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.33 : 18,165 = 5,084.73 : x
  2. Step 2: Convert to fraction form
    12,105.33/18,165 = 5,084.73/x
  3. Step 3: Cross multiply
    12,105.33x = 18,165 × 5,084.73
  4. Step 4: Simplify right side
    12,105.33x = 92,364,120.45
  5. Step 5: Solve for x
    x = 92,364,120.45/12,105.33
  6. Step 6: Final answer
    x = 7,630.04

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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.