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Finding the Fourth Proportional to 20,665.26, 30,999.78 and 8,183.70

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Solution

The fourth proportional to 20,665.26, 30,999.78 and 8,183.70 is: 12,276.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.26 : 30,999.78 = 8,183.70 : x
  2. Step 2: Convert to fraction form
    20,665.26/30,999.78 = 8,183.70/x
  3. Step 3: Cross multiply
    20,665.26x = 30,999.78 × 8,183.70
  4. Step 4: Simplify right side
    20,665.26x = 253,692,899.59
  5. Step 5: Solve for x
    x = 253,692,899.59/20,665.26
  6. Step 6: Final answer
    x = 12,276.30

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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.