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Finding the Fourth Proportional to 13,830.52, 20,745.76 and 3,442.28

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Solution

The fourth proportional to 13,830.52, 20,745.76 and 3,442.28 is: 5,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.52 : 20,745.76 = 3,442.28 : x
  2. Step 2: Convert to fraction form
    13,830.52/20,745.76 = 3,442.28/x
  3. Step 3: Cross multiply
    13,830.52x = 20,745.76 × 3,442.28
  4. Step 4: Simplify right side
    13,830.52x = 71,412,714.73
  5. Step 5: Solve for x
    x = 71,412,714.73/13,830.52
  6. Step 6: Final answer
    x = 5,163.42

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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.