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Finding the Fourth Proportional to 12,131.64, 16,727.22 and 8,144.28

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Solution

The fourth proportional to 12,131.64, 16,727.22 and 8,144.28 is: 11,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.64 : 16,727.22 = 8,144.28 : x
  2. Step 2: Convert to fraction form
    12,131.64/16,727.22 = 8,144.28/x
  3. Step 3: Cross multiply
    12,131.64x = 16,727.22 × 8,144.28
  4. Step 4: Simplify right side
    12,131.64x = 136,231,163.30
  5. Step 5: Solve for x
    x = 136,231,163.30/12,131.64
  6. Step 6: Final answer
    x = 11,229.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.