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Finding the Fourth Proportional to 12,171.16, 18,249.75 and 4,766.95

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Solution

The fourth proportional to 12,171.16, 18,249.75 and 4,766.95 is: 7,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.16 : 18,249.75 = 4,766.95 : x
  2. Step 2: Convert to fraction form
    12,171.16/18,249.75 = 4,766.95/x
  3. Step 3: Cross multiply
    12,171.16x = 18,249.75 × 4,766.95
  4. Step 4: Simplify right side
    12,171.16x = 86,995,645.76
  5. Step 5: Solve for x
    x = 86,995,645.76/12,171.16
  6. Step 6: Final answer
    x = 7,147.69

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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.