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Finding the Fourth Proportional to 18,838.40, 28,257.92 and 8,163.84

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Solution

The fourth proportional to 18,838.40, 28,257.92 and 8,163.84 is: 12,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,838.40 : 28,257.92 = 8,163.84 : x
  2. Step 2: Convert to fraction form
    18,838.40/28,257.92 = 8,163.84/x
  3. Step 3: Cross multiply
    18,838.40x = 28,257.92 × 8,163.84
  4. Step 4: Simplify right side
    18,838.40x = 230,693,137.61
  5. Step 5: Solve for x
    x = 230,693,137.61/18,838.40
  6. Step 6: Final answer
    x = 12,245.90

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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.