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Finding the Fourth Proportional to 13,638.96, 20,458.53 and 3,781.26

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Solution

The fourth proportional to 13,638.96, 20,458.53 and 3,781.26 is: 5,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.96 : 20,458.53 = 3,781.26 : x
  2. Step 2: Convert to fraction form
    13,638.96/20,458.53 = 3,781.26/x
  3. Step 3: Cross multiply
    13,638.96x = 20,458.53 × 3,781.26
  4. Step 4: Simplify right side
    13,638.96x = 77,359,021.15
  5. Step 5: Solve for x
    x = 77,359,021.15/13,638.96
  6. Step 6: Final answer
    x = 5,671.91

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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.