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Finding the Fourth Proportional to 13,662.39, 20,493.60 and 3,801.69

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Solution

The fourth proportional to 13,662.39, 20,493.60 and 3,801.69 is: 5,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.39 : 20,493.60 = 3,801.69 : x
  2. Step 2: Convert to fraction form
    13,662.39/20,493.60 = 3,801.69/x
  3. Step 3: Cross multiply
    13,662.39x = 20,493.60 × 3,801.69
  4. Step 4: Simplify right side
    13,662.39x = 77,910,314.18
  5. Step 5: Solve for x
    x = 77,910,314.18/13,662.39
  6. Step 6: Final answer
    x = 5,702.54

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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.