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Finding the Fourth Proportional to 12,080, 18,122.60 and 3,759.84

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Solution

The fourth proportional to 12,080, 18,122.60 and 3,759.84 is: 5,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080 : 18,122.60 = 3,759.84 : x
  2. Step 2: Convert to fraction form
    12,080/18,122.60 = 3,759.84/x
  3. Step 3: Cross multiply
    12,080x = 18,122.60 × 3,759.84
  4. Step 4: Simplify right side
    12,080x = 68,138,076.38
  5. Step 5: Solve for x
    x = 68,138,076.38/12,080
  6. Step 6: Final answer
    x = 5,640.57

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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.