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Finding the Fourth Proportional to 16,286.24, 24,416.96 and 8,896.96

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Solution

The fourth proportional to 16,286.24, 24,416.96 and 8,896.96 is: 13,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.24 : 24,416.96 = 8,896.96 : x
  2. Step 2: Convert to fraction form
    16,286.24/24,416.96 = 8,896.96/x
  3. Step 3: Cross multiply
    16,286.24x = 24,416.96 × 8,896.96
  4. Step 4: Simplify right side
    16,286.24x = 217,236,716.44
  5. Step 5: Solve for x
    x = 217,236,716.44/16,286.24
  6. Step 6: Final answer
    x = 13,338.67

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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.