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Finding the Fourth Proportional to 27,183.44, 40,778.96 and 8,464.83

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Solution

The fourth proportional to 27,183.44, 40,778.96 and 8,464.83 is: 12,698.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.44 : 40,778.96 = 8,464.83 : x
  2. Step 2: Convert to fraction form
    27,183.44/40,778.96 = 8,464.83/x
  3. Step 3: Cross multiply
    27,183.44x = 40,778.96 × 8,464.83
  4. Step 4: Simplify right side
    27,183.44x = 345,186,921.65
  5. Step 5: Solve for x
    x = 345,186,921.65/27,183.44
  6. Step 6: Final answer
    x = 12,698.43

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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.