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Finding the Fourth Proportional to 22,234.14, 33,351.27 and 9,086.51

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Solution

The fourth proportional to 22,234.14, 33,351.27 and 9,086.51 is: 13,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,234.14 : 33,351.27 = 9,086.51 : x
  2. Step 2: Convert to fraction form
    22,234.14/33,351.27 = 9,086.51/x
  3. Step 3: Cross multiply
    22,234.14x = 33,351.27 × 9,086.51
  4. Step 4: Simplify right side
    22,234.14x = 303,046,648.37
  5. Step 5: Solve for x
    x = 303,046,648.37/22,234.14
  6. Step 6: Final answer
    x = 13,629.79

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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.