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Finding the Fourth Proportional to 16,282.14, 22,469.00 and 9,208.55

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Solution

The fourth proportional to 16,282.14, 22,469.00 and 9,208.55 is: 12,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.14 : 22,469.00 = 9,208.55 : x
  2. Step 2: Convert to fraction form
    16,282.14/22,469.00 = 9,208.55/x
  3. Step 3: Cross multiply
    16,282.14x = 22,469.00 × 9,208.55
  4. Step 4: Simplify right side
    16,282.14x = 206,906,751.56
  5. Step 5: Solve for x
    x = 206,906,751.56/16,282.14
  6. Step 6: Final answer
    x = 12,707.59

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