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Finding the Fourth Proportional to 13,830.62, 20,745.99 and 3,442.37

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Solution

The fourth proportional to 13,830.62, 20,745.99 and 3,442.37 is: 5,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.62 : 20,745.99 = 3,442.37 : x
  2. Step 2: Convert to fraction form
    13,830.62/20,745.99 = 3,442.37/x
  3. Step 3: Cross multiply
    13,830.62x = 20,745.99 × 3,442.37
  4. Step 4: Simplify right side
    13,830.62x = 71,415,269.87
  5. Step 5: Solve for x
    x = 71,415,269.87/13,830.62
  6. Step 6: Final answer
    x = 5,163.56

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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.