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Finding the Fourth Proportional to 21,183.64, 31,755.81 and 8,027.21

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Solution

The fourth proportional to 21,183.64, 31,755.81 and 8,027.21 is: 12,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,183.64 : 31,755.81 = 8,027.21 : x
  2. Step 2: Convert to fraction form
    21,183.64/31,755.81 = 8,027.21/x
  3. Step 3: Cross multiply
    21,183.64x = 31,755.81 × 8,027.21
  4. Step 4: Simplify right side
    21,183.64x = 254,910,555.59
  5. Step 5: Solve for x
    x = 254,910,555.59/21,183.64
  6. Step 6: Final answer
    x = 12,033.37

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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.