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Finding the Fourth Proportional to 13,766.24, 20,644.83 and 7,524.92

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Solution

The fourth proportional to 13,766.24, 20,644.83 and 7,524.92 is: 11,284.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.24 : 20,644.83 = 7,524.92 : x
  2. Step 2: Convert to fraction form
    13,766.24/20,644.83 = 7,524.92/x
  3. Step 3: Cross multiply
    13,766.24x = 20,644.83 × 7,524.92
  4. Step 4: Simplify right side
    13,766.24x = 155,350,590.94
  5. Step 5: Solve for x
    x = 155,350,590.94/13,766.24
  6. Step 6: Final answer
    x = 11,284.90

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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.