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Finding the Fourth Proportional to 13,650.22, 20,471.64 and 5,857.21

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Solution

The fourth proportional to 13,650.22, 20,471.64 and 5,857.21 is: 8,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,650.22 : 20,471.64 = 5,857.21 : x
  2. Step 2: Convert to fraction form
    13,650.22/20,471.64 = 5,857.21/x
  3. Step 3: Cross multiply
    13,650.22x = 20,471.64 × 5,857.21
  4. Step 4: Simplify right side
    13,650.22x = 119,906,694.52
  5. Step 5: Solve for x
    x = 119,906,694.52/13,650.22
  6. Step 6: Final answer
    x = 8,784.23

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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.