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Finding the Fourth Proportional to 16,286.56, 24,429.86 and 5,193.30

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Solution

The fourth proportional to 16,286.56, 24,429.86 and 5,193.30 is: 7,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.56 : 24,429.86 = 5,193.30 : x
  2. Step 2: Convert to fraction form
    16,286.56/24,429.86 = 5,193.30/x
  3. Step 3: Cross multiply
    16,286.56x = 24,429.86 × 5,193.30
  4. Step 4: Simplify right side
    16,286.56x = 126,871,591.94
  5. Step 5: Solve for x
    x = 126,871,591.94/16,286.56
  6. Step 6: Final answer
    x = 7,789.96

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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.