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Finding the Fourth Proportional to 8,245.23, 12,367.80 and 2,005.23

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Solution

The fourth proportional to 8,245.23, 12,367.80 and 2,005.23 is: 3,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.23 : 12,367.80 = 2,005.23 : x
  2. Step 2: Convert to fraction form
    8,245.23/12,367.80 = 2,005.23/x
  3. Step 3: Cross multiply
    8,245.23x = 12,367.80 × 2,005.23
  4. Step 4: Simplify right side
    8,245.23x = 24,800,283.59
  5. Step 5: Solve for x
    x = 24,800,283.59/8,245.23
  6. Step 6: Final answer
    x = 3,007.83

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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.