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Finding the Fourth Proportional to 12,186.87, 18,281.51 and 5,069.65

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Solution

The fourth proportional to 12,186.87, 18,281.51 and 5,069.65 is: 7,604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.87 : 18,281.51 = 5,069.65 : x
  2. Step 2: Convert to fraction form
    12,186.87/18,281.51 = 5,069.65/x
  3. Step 3: Cross multiply
    12,186.87x = 18,281.51 × 5,069.65
  4. Step 4: Simplify right side
    12,186.87x = 92,680,850.83
  5. Step 5: Solve for x
    x = 92,680,850.83/12,186.87
  6. Step 6: Final answer
    x = 7,604.97

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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.