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Finding the Fourth Proportional to 12,481.92, 17,226.09 and 7,178.45

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Solution

The fourth proportional to 12,481.92, 17,226.09 and 7,178.45 is: 9,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481.92 : 17,226.09 = 7,178.45 : x
  2. Step 2: Convert to fraction form
    12,481.92/17,226.09 = 7,178.45/x
  3. Step 3: Cross multiply
    12,481.92x = 17,226.09 × 7,178.45
  4. Step 4: Simplify right side
    12,481.92x = 123,656,539.63
  5. Step 5: Solve for x
    x = 123,656,539.63/12,481.92
  6. Step 6: Final answer
    x = 9,906.85

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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.