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Finding the Fourth Proportional to 13,722.72, 20,584.73 and 3,861.78

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Solution

The fourth proportional to 13,722.72, 20,584.73 and 3,861.78 is: 5,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.72 : 20,584.73 = 3,861.78 : x
  2. Step 2: Convert to fraction form
    13,722.72/20,584.73 = 3,861.78/x
  3. Step 3: Cross multiply
    13,722.72x = 20,584.73 × 3,861.78
  4. Step 4: Simplify right side
    13,722.72x = 79,493,631.08
  5. Step 5: Solve for x
    x = 79,493,631.08/13,722.72
  6. Step 6: Final answer
    x = 5,792.85

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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.