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Finding the Fourth Proportional to 17,213.06, 25,822 and 5,529.86

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Solution

The fourth proportional to 17,213.06, 25,822 and 5,529.86 is: 8,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.06 : 25,822 = 5,529.86 : x
  2. Step 2: Convert to fraction form
    17,213.06/25,822 = 5,529.86/x
  3. Step 3: Cross multiply
    17,213.06x = 25,822 × 5,529.86
  4. Step 4: Simplify right side
    17,213.06x = 142,792,044.92
  5. Step 5: Solve for x
    x = 142,792,044.92/17,213.06
  6. Step 6: Final answer
    x = 8,295.56

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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.