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Finding the Fourth Proportional to 12,469.89, 18,694.93 and 7,198.94

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Solution

The fourth proportional to 12,469.89, 18,694.93 and 7,198.94 is: 10,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.89 : 18,694.93 = 7,198.94 : x
  2. Step 2: Convert to fraction form
    12,469.89/18,694.93 = 7,198.94/x
  3. Step 3: Cross multiply
    12,469.89x = 18,694.93 × 7,198.94
  4. Step 4: Simplify right side
    12,469.89x = 134,583,679.37
  5. Step 5: Solve for x
    x = 134,583,679.37/12,469.89
  6. Step 6: Final answer
    x = 10,792.69

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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.