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Finding the Fourth Proportional to 13,758.81, 20,638.22 and 3,898.18

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Solution

The fourth proportional to 13,758.81, 20,638.22 and 3,898.18 is: 5,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.81 : 20,638.22 = 3,898.18 : x
  2. Step 2: Convert to fraction form
    13,758.81/20,638.22 = 3,898.18/x
  3. Step 3: Cross multiply
    13,758.81x = 20,638.22 × 3,898.18
  4. Step 4: Simplify right side
    13,758.81x = 80,451,496.44
  5. Step 5: Solve for x
    x = 80,451,496.44/13,758.81
  6. Step 6: Final answer
    x = 5,847.27

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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.