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Finding the Fourth Proportional to 17,286, 25,942.83 and 7,930.42

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Solution

The fourth proportional to 17,286, 25,942.83 and 7,930.42 is: 11,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286 : 25,942.83 = 7,930.42 : x
  2. Step 2: Convert to fraction form
    17,286/25,942.83 = 7,930.42/x
  3. Step 3: Cross multiply
    17,286x = 25,942.83 × 7,930.42
  4. Step 4: Simplify right side
    17,286x = 205,737,537.89
  5. Step 5: Solve for x
    x = 205,737,537.89/17,286
  6. Step 6: Final answer
    x = 11,901.97

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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.