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Finding the Fourth Proportional to 22,190.81, 33,286.89 and 9,704.40

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Solution

The fourth proportional to 22,190.81, 33,286.89 and 9,704.40 is: 14,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,190.81 : 33,286.89 = 9,704.40 : x
  2. Step 2: Convert to fraction form
    22,190.81/33,286.89 = 9,704.40/x
  3. Step 3: Cross multiply
    22,190.81x = 33,286.89 × 9,704.40
  4. Step 4: Simplify right side
    22,190.81x = 323,029,295.32
  5. Step 5: Solve for x
    x = 323,029,295.32/22,190.81
  6. Step 6: Final answer
    x = 14,556.90

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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.