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Finding the Fourth Proportional to 26,921.64, 40,383.84 and 8,200.22

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Solution

The fourth proportional to 26,921.64, 40,383.84 and 8,200.22 is: 12,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,921.64 : 40,383.84 = 8,200.22 : x
  2. Step 2: Convert to fraction form
    26,921.64/40,383.84 = 8,200.22/x
  3. Step 3: Cross multiply
    26,921.64x = 40,383.84 × 8,200.22
  4. Step 4: Simplify right side
    26,921.64x = 331,156,372.44
  5. Step 5: Solve for x
    x = 331,156,372.44/26,921.64
  6. Step 6: Final answer
    x = 12,300.75

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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.