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Finding the Fourth Proportional to 20,205.36, 30,296 and 8,349.92

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Solution

The fourth proportional to 20,205.36, 30,296 and 8,349.92 is: 12,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.36 : 30,296 = 8,349.92 : x
  2. Step 2: Convert to fraction form
    20,205.36/30,296 = 8,349.92/x
  3. Step 3: Cross multiply
    20,205.36x = 30,296 × 8,349.92
  4. Step 4: Simplify right side
    20,205.36x = 252,969,176.32
  5. Step 5: Solve for x
    x = 252,969,176.32/20,205.36
  6. Step 6: Final answer
    x = 12,519.90

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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.