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Finding the Fourth Proportional to 12,167.62, 18,249.86 and 3,848.49

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Solution

The fourth proportional to 12,167.62, 18,249.86 and 3,848.49 is: 5,772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.62 : 18,249.86 = 3,848.49 : x
  2. Step 2: Convert to fraction form
    12,167.62/18,249.86 = 3,848.49/x
  3. Step 3: Cross multiply
    12,167.62x = 18,249.86 × 3,848.49
  4. Step 4: Simplify right side
    12,167.62x = 70,234,340.36
  5. Step 5: Solve for x
    x = 70,234,340.36/12,167.62
  6. Step 6: Final answer
    x = 5,772.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.