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Finding the Fourth Proportional to 12,115.70, 18,144.39 and 8,208.26

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Solution

The fourth proportional to 12,115.70, 18,144.39 and 8,208.26 is: 12,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.70 : 18,144.39 = 8,208.26 : x
  2. Step 2: Convert to fraction form
    12,115.70/18,144.39 = 8,208.26/x
  3. Step 3: Cross multiply
    12,115.70x = 18,144.39 × 8,208.26
  4. Step 4: Simplify right side
    12,115.70x = 148,933,870.66
  5. Step 5: Solve for x
    x = 148,933,870.66/12,115.70
  6. Step 6: Final answer
    x = 12,292.63

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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.