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Finding the Fourth Proportional to 12,940.37, 19,396.72 and 6,694.10

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Solution

The fourth proportional to 12,940.37, 19,396.72 and 6,694.10 is: 10,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.37 : 19,396.72 = 6,694.10 : x
  2. Step 2: Convert to fraction form
    12,940.37/19,396.72 = 6,694.10/x
  3. Step 3: Cross multiply
    12,940.37x = 19,396.72 × 6,694.10
  4. Step 4: Simplify right side
    12,940.37x = 129,843,469.63
  5. Step 5: Solve for x
    x = 129,843,469.63/12,940.37
  6. Step 6: Final answer
    x = 10,033.98

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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.