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Finding the Fourth Proportional to 13,638.96, 20,458.44 and 3,778.29

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Solution

The fourth proportional to 13,638.96, 20,458.44 and 3,778.29 is: 5,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.96 : 20,458.44 = 3,778.29 : x
  2. Step 2: Convert to fraction form
    13,638.96/20,458.44 = 3,778.29/x
  3. Step 3: Cross multiply
    13,638.96x = 20,458.44 × 3,778.29
  4. Step 4: Simplify right side
    13,638.96x = 77,297,919.27
  5. Step 5: Solve for x
    x = 77,297,919.27/13,638.96
  6. Step 6: Final answer
    x = 5,667.44

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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.