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Finding the Fourth Proportional to 14,432.67, 21,631.35 and 8,197.92

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Solution

The fourth proportional to 14,432.67, 21,631.35 and 8,197.92 is: 12,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.67 : 21,631.35 = 8,197.92 : x
  2. Step 2: Convert to fraction form
    14,432.67/21,631.35 = 8,197.92/x
  3. Step 3: Cross multiply
    14,432.67x = 21,631.35 × 8,197.92
  4. Step 4: Simplify right side
    14,432.67x = 177,332,076.79
  5. Step 5: Solve for x
    x = 177,332,076.79/14,432.67
  6. Step 6: Final answer
    x = 12,286.85

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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.