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Finding the Fourth Proportional to 13,840.86, 20,760.06 and 3,452.60

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Solution

The fourth proportional to 13,840.86, 20,760.06 and 3,452.60 is: 5,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.86 : 20,760.06 = 3,452.60 : x
  2. Step 2: Convert to fraction form
    13,840.86/20,760.06 = 3,452.60/x
  3. Step 3: Cross multiply
    13,840.86x = 20,760.06 × 3,452.60
  4. Step 4: Simplify right side
    13,840.86x = 71,676,183.16
  5. Step 5: Solve for x
    x = 71,676,183.16/13,840.86
  6. Step 6: Final answer
    x = 5,178.59

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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.