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Finding the Fourth Proportional to 12,163.28, 18,245.10 and 8,029.76

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Solution

The fourth proportional to 12,163.28, 18,245.10 and 8,029.76 is: 12,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.28 : 18,245.10 = 8,029.76 : x
  2. Step 2: Convert to fraction form
    12,163.28/18,245.10 = 8,029.76/x
  3. Step 3: Cross multiply
    12,163.28x = 18,245.10 × 8,029.76
  4. Step 4: Simplify right side
    12,163.28x = 146,503,774.18
  5. Step 5: Solve for x
    x = 146,503,774.18/12,163.28
  6. Step 6: Final answer
    x = 12,044.76

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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.