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Finding the Fourth Proportional to 12,197.30, 18,286.20 and 4,800.38

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Solution

The fourth proportional to 12,197.30, 18,286.20 and 4,800.38 is: 7,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.30 : 18,286.20 = 4,800.38 : x
  2. Step 2: Convert to fraction form
    12,197.30/18,286.20 = 4,800.38/x
  3. Step 3: Cross multiply
    12,197.30x = 18,286.20 × 4,800.38
  4. Step 4: Simplify right side
    12,197.30x = 87,780,617.33
  5. Step 5: Solve for x
    x = 87,780,617.33/12,197.30
  6. Step 6: Final answer
    x = 7,196.73

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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.