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Finding the Fourth Proportional to 16,180.40, 24,274.07 and 9,163.73

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Solution

The fourth proportional to 16,180.40, 24,274.07 and 9,163.73 is: 13,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,180.40 : 24,274.07 = 9,163.73 : x
  2. Step 2: Convert to fraction form
    16,180.40/24,274.07 = 9,163.73/x
  3. Step 3: Cross multiply
    16,180.40x = 24,274.07 × 9,163.73
  4. Step 4: Simplify right side
    16,180.40x = 222,441,023.48
  5. Step 5: Solve for x
    x = 222,441,023.48/16,180.40
  6. Step 6: Final answer
    x = 13,747.56

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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.