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Finding the Fourth Proportional to 20,183.68, 27,846.84 and 12,222.88

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Solution

The fourth proportional to 20,183.68, 27,846.84 and 12,222.88 is: 16,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.68 : 27,846.84 = 12,222.88 : x
  2. Step 2: Convert to fraction form
    20,183.68/27,846.84 = 12,222.88/x
  3. Step 3: Cross multiply
    20,183.68x = 27,846.84 × 12,222.88
  4. Step 4: Simplify right side
    20,183.68x = 340,368,583.70
  5. Step 5: Solve for x
    x = 340,368,583.70/20,183.68
  6. Step 6: Final answer
    x = 16,863.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.