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Finding the Fourth Proportional to 12,149.88, 18,224.82 and 3,385.02

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Solution

The fourth proportional to 12,149.88, 18,224.82 and 3,385.02 is: 5,077.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.88 : 18,224.82 = 3,385.02 : x
  2. Step 2: Convert to fraction form
    12,149.88/18,224.82 = 3,385.02/x
  3. Step 3: Cross multiply
    12,149.88x = 18,224.82 × 3,385.02
  4. Step 4: Simplify right side
    12,149.88x = 61,691,380.20
  5. Step 5: Solve for x
    x = 61,691,380.20/12,149.88
  6. Step 6: Final answer
    x = 5,077.53

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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.