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Finding the Fourth Proportional to 23,706, 35,571.96 and 11,394

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Solution

The fourth proportional to 23,706, 35,571.96 and 11,394 is: 17,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706 : 35,571.96 = 11,394 : x
  2. Step 2: Convert to fraction form
    23,706/35,571.96 = 11,394/x
  3. Step 3: Cross multiply
    23,706x = 35,571.96 × 11,394
  4. Step 4: Simplify right side
    23,706x = 405,306,912.24
  5. Step 5: Solve for x
    x = 405,306,912.24/23,706
  6. Step 6: Final answer
    x = 17,097.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.