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Finding the Fourth Proportional to 12,168.72, 18,241.52 and 3,843

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Solution

The fourth proportional to 12,168.72, 18,241.52 and 3,843 is: 5,760.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.72 : 18,241.52 = 3,843 : x
  2. Step 2: Convert to fraction form
    12,168.72/18,241.52 = 3,843/x
  3. Step 3: Cross multiply
    12,168.72x = 18,241.52 × 3,843
  4. Step 4: Simplify right side
    12,168.72x = 70,102,161.36
  5. Step 5: Solve for x
    x = 70,102,161.36/12,168.72
  6. Step 6: Final answer
    x = 5,760.85

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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.