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Finding the Fourth Proportional to 12,226.26, 18,340.41 and 3,907.46

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Solution

The fourth proportional to 12,226.26, 18,340.41 and 3,907.46 is: 5,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.26 : 18,340.41 = 3,907.46 : x
  2. Step 2: Convert to fraction form
    12,226.26/18,340.41 = 3,907.46/x
  3. Step 3: Cross multiply
    12,226.26x = 18,340.41 × 3,907.46
  4. Step 4: Simplify right side
    12,226.26x = 71,664,418.46
  5. Step 5: Solve for x
    x = 71,664,418.46/12,226.26
  6. Step 6: Final answer
    x = 5,861.52

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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.