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Finding the Fourth Proportional to 12,940.75, 17,858.24 and 7,351.75

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Solution

The fourth proportional to 12,940.75, 17,858.24 and 7,351.75 is: 10,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.75 : 17,858.24 = 7,351.75 : x
  2. Step 2: Convert to fraction form
    12,940.75/17,858.24 = 7,351.75/x
  3. Step 3: Cross multiply
    12,940.75x = 17,858.24 × 7,351.75
  4. Step 4: Simplify right side
    12,940.75x = 131,289,315.92
  5. Step 5: Solve for x
    x = 131,289,315.92/12,940.75
  6. Step 6: Final answer
    x = 10,145.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.