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Finding the Fourth Proportional to 16,205.92, 24,290.64 and 8,286.24

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Solution

The fourth proportional to 16,205.92, 24,290.64 and 8,286.24 is: 12,420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.92 : 24,290.64 = 8,286.24 : x
  2. Step 2: Convert to fraction form
    16,205.92/24,290.64 = 8,286.24/x
  3. Step 3: Cross multiply
    16,205.92x = 24,290.64 × 8,286.24
  4. Step 4: Simplify right side
    16,205.92x = 201,278,072.79
  5. Step 5: Solve for x
    x = 201,278,072.79/16,205.92
  6. Step 6: Final answer
    x = 12,420.03

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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.