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Finding the Fourth Proportional to 22,785.96, 34,183.08 and 10,311.87

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Solution

The fourth proportional to 22,785.96, 34,183.08 and 10,311.87 is: 15,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.96 : 34,183.08 = 10,311.87 : x
  2. Step 2: Convert to fraction form
    22,785.96/34,183.08 = 10,311.87/x
  3. Step 3: Cross multiply
    22,785.96x = 34,183.08 × 10,311.87
  4. Step 4: Simplify right side
    22,785.96x = 352,491,477.16
  5. Step 5: Solve for x
    x = 352,491,477.16/22,785.96
  6. Step 6: Final answer
    x = 15,469.68

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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.