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Finding the Fourth Proportional to 20,183.64, 30,257.70 and 7,863

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Solution

The fourth proportional to 20,183.64, 30,257.70 and 7,863 is: 11,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,183.64 : 30,257.70 = 7,863 : x
  2. Step 2: Convert to fraction form
    20,183.64/30,257.70 = 7,863/x
  3. Step 3: Cross multiply
    20,183.64x = 30,257.70 × 7,863
  4. Step 4: Simplify right side
    20,183.64x = 237,916,295.10
  5. Step 5: Solve for x
    x = 237,916,295.10/20,183.64
  6. Step 6: Final answer
    x = 11,787.58

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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.