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Finding the Fourth Proportional to 21,830.20, 32,745.30 and 5,414.20

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Solution

The fourth proportional to 21,830.20, 32,745.30 and 5,414.20 is: 8,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.20 : 32,745.30 = 5,414.20 : x
  2. Step 2: Convert to fraction form
    21,830.20/32,745.30 = 5,414.20/x
  3. Step 3: Cross multiply
    21,830.20x = 32,745.30 × 5,414.20
  4. Step 4: Simplify right side
    21,830.20x = 177,289,603.26
  5. Step 5: Solve for x
    x = 177,289,603.26/21,830.20
  6. Step 6: Final answer
    x = 8,121.30

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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.