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Finding the Fourth Proportional to 13,744.66, 20,590.46 and 8,202.44

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Solution

The fourth proportional to 13,744.66, 20,590.46 and 8,202.44 is: 12,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.66 : 20,590.46 = 8,202.44 : x
  2. Step 2: Convert to fraction form
    13,744.66/20,590.46 = 8,202.44/x
  3. Step 3: Cross multiply
    13,744.66x = 20,590.46 × 8,202.44
  4. Step 4: Simplify right side
    13,744.66x = 168,892,012.72
  5. Step 5: Solve for x
    x = 168,892,012.72/13,744.66
  6. Step 6: Final answer
    x = 12,287.83

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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.