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Finding the Fourth Proportional to 8,246.25, 12,369.24 and 2,006.23

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Solution

The fourth proportional to 8,246.25, 12,369.24 and 2,006.23 is: 3,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.25 : 12,369.24 = 2,006.23 : x
  2. Step 2: Convert to fraction form
    8,246.25/12,369.24 = 2,006.23/x
  3. Step 3: Cross multiply
    8,246.25x = 12,369.24 × 2,006.23
  4. Step 4: Simplify right side
    8,246.25x = 24,815,540.37
  5. Step 5: Solve for x
    x = 24,815,540.37/8,246.25
  6. Step 6: Final answer
    x = 3,009.31

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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.