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Finding the Fourth Proportional to 12,226.44, 18,340.64 and 3,907.64

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Solution

The fourth proportional to 12,226.44, 18,340.64 and 3,907.64 is: 5,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,226.44 : 18,340.64 = 3,907.64 : x
  2. Step 2: Convert to fraction form
    12,226.44/18,340.64 = 3,907.64/x
  3. Step 3: Cross multiply
    12,226.44x = 18,340.64 × 3,907.64
  4. Step 4: Simplify right side
    12,226.44x = 71,668,674.11
  5. Step 5: Solve for x
    x = 71,668,674.11/12,226.44
  6. Step 6: Final answer
    x = 5,861.78

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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.