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Finding the Fourth Proportional to 23,571.92, 35,373 and 9,722

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Solution

The fourth proportional to 23,571.92, 35,373 and 9,722 is: 14,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,571.92 : 35,373 = 9,722 : x
  2. Step 2: Convert to fraction form
    23,571.92/35,373 = 9,722/x
  3. Step 3: Cross multiply
    23,571.92x = 35,373 × 9,722
  4. Step 4: Simplify right side
    23,571.92x = 343,896,306
  5. Step 5: Solve for x
    x = 343,896,306/23,571.92
  6. Step 6: Final answer
    x = 14,589.24

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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.