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Finding the Fourth Proportional to 13,745.30, 20,608.02 and 5,843.48

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Solution

The fourth proportional to 13,745.30, 20,608.02 and 5,843.48 is: 8,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.30 : 20,608.02 = 5,843.48 : x
  2. Step 2: Convert to fraction form
    13,745.30/20,608.02 = 5,843.48/x
  3. Step 3: Cross multiply
    13,745.30x = 20,608.02 × 5,843.48
  4. Step 4: Simplify right side
    13,745.30x = 120,422,449.67
  5. Step 5: Solve for x
    x = 120,422,449.67/13,745.30
  6. Step 6: Final answer
    x = 8,760.99

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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.