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Finding the Fourth Proportional to 12,147.75, 18,241.89 and 11,238.54

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Solution

The fourth proportional to 12,147.75, 18,241.89 and 11,238.54 is: 16,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.75 : 18,241.89 = 11,238.54 : x
  2. Step 2: Convert to fraction form
    12,147.75/18,241.89 = 11,238.54/x
  3. Step 3: Cross multiply
    12,147.75x = 18,241.89 × 11,238.54
  4. Step 4: Simplify right side
    12,147.75x = 205,012,210.44
  5. Step 5: Solve for x
    x = 205,012,210.44/12,147.75
  6. Step 6: Final answer
    x = 16,876.56

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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.