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Finding the Fourth Proportional to 16,096.26, 24,135.42 and 8,193.84

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Solution

The fourth proportional to 16,096.26, 24,135.42 and 8,193.84 is: 12,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.26 : 24,135.42 = 8,193.84 : x
  2. Step 2: Convert to fraction form
    16,096.26/24,135.42 = 8,193.84/x
  3. Step 3: Cross multiply
    16,096.26x = 24,135.42 × 8,193.84
  4. Step 4: Simplify right side
    16,096.26x = 197,761,769.81
  5. Step 5: Solve for x
    x = 197,761,769.81/16,096.26
  6. Step 6: Final answer
    x = 12,286.19

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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.