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Finding the Fourth Proportional to 12,257.14, 18,382.05 and 4,464.13

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Solution

The fourth proportional to 12,257.14, 18,382.05 and 4,464.13 is: 6,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.14 : 18,382.05 = 4,464.13 : x
  2. Step 2: Convert to fraction form
    12,257.14/18,382.05 = 4,464.13/x
  3. Step 3: Cross multiply
    12,257.14x = 18,382.05 × 4,464.13
  4. Step 4: Simplify right side
    12,257.14x = 82,059,860.87
  5. Step 5: Solve for x
    x = 82,059,860.87/12,257.14
  6. Step 6: Final answer
    x = 6,694.86

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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.