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Finding the Fourth Proportional to 22,000.26, 32,996.88 and 6,414.24

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Solution

The fourth proportional to 22,000.26, 32,996.88 and 6,414.24 is: 9,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.26 : 32,996.88 = 6,414.24 : x
  2. Step 2: Convert to fraction form
    22,000.26/32,996.88 = 6,414.24/x
  3. Step 3: Cross multiply
    22,000.26x = 32,996.88 × 6,414.24
  4. Step 4: Simplify right side
    22,000.26x = 211,649,907.57
  5. Step 5: Solve for x
    x = 211,649,907.57/22,000.26
  6. Step 6: Final answer
    x = 9,620.34

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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.