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Finding the Fourth Proportional to 13,720.54, 20,578.42 and 3,857.48

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Solution

The fourth proportional to 13,720.54, 20,578.42 and 3,857.48 is: 5,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720.54 : 20,578.42 = 3,857.48 : x
  2. Step 2: Convert to fraction form
    13,720.54/20,578.42 = 3,857.48/x
  3. Step 3: Cross multiply
    13,720.54x = 20,578.42 × 3,857.48
  4. Step 4: Simplify right side
    13,720.54x = 79,380,843.58
  5. Step 5: Solve for x
    x = 79,380,843.58/13,720.54
  6. Step 6: Final answer
    x = 5,785.55

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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.