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Finding the Fourth Proportional to 22,584.09, 33,882 and 8,544.21

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Solution

The fourth proportional to 22,584.09, 33,882 and 8,544.21 is: 12,818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.09 : 33,882 = 8,544.21 : x
  2. Step 2: Convert to fraction form
    22,584.09/33,882 = 8,544.21/x
  3. Step 3: Cross multiply
    22,584.09x = 33,882 × 8,544.21
  4. Step 4: Simplify right side
    22,584.09x = 289,494,923.22
  5. Step 5: Solve for x
    x = 289,494,923.22/22,584.09
  6. Step 6: Final answer
    x = 12,818.53

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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.