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Finding the Fourth Proportional to 13,745.70, 20,604.38 and 5,414.45

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Solution

The fourth proportional to 13,745.70, 20,604.38 and 5,414.45 is: 8,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.70 : 20,604.38 = 5,414.45 : x
  2. Step 2: Convert to fraction form
    13,745.70/20,604.38 = 5,414.45/x
  3. Step 3: Cross multiply
    13,745.70x = 20,604.38 × 5,414.45
  4. Step 4: Simplify right side
    13,745.70x = 111,561,255.20
  5. Step 5: Solve for x
    x = 111,561,255.20/13,745.70
  6. Step 6: Final answer
    x = 8,116.08

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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.