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Finding the Fourth Proportional to 13,605.36, 20,408.13 and 3,745.68

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Solution

The fourth proportional to 13,605.36, 20,408.13 and 3,745.68 is: 5,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.36 : 20,408.13 = 3,745.68 : x
  2. Step 2: Convert to fraction form
    13,605.36/20,408.13 = 3,745.68/x
  3. Step 3: Cross multiply
    13,605.36x = 20,408.13 × 3,745.68
  4. Step 4: Simplify right side
    13,605.36x = 76,442,324.38
  5. Step 5: Solve for x
    x = 76,442,324.38/13,605.36
  6. Step 6: Final answer
    x = 5,618.54

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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.