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Finding the Fourth Proportional to 16,839.73, 23,234.27 and 9,571.72

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Solution

The fourth proportional to 16,839.73, 23,234.27 and 9,571.72 is: 13,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.73 : 23,234.27 = 9,571.72 : x
  2. Step 2: Convert to fraction form
    16,839.73/23,234.27 = 9,571.72/x
  3. Step 3: Cross multiply
    16,839.73x = 23,234.27 × 9,571.72
  4. Step 4: Simplify right side
    16,839.73x = 222,391,926.84
  5. Step 5: Solve for x
    x = 222,391,926.84/16,839.73
  6. Step 6: Final answer
    x = 13,206.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.