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Finding the Fourth Proportional to 22,189.75, 33,289.49 and 8,338.75

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Solution

The fourth proportional to 22,189.75, 33,289.49 and 8,338.75 is: 12,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,189.75 : 33,289.49 = 8,338.75 : x
  2. Step 2: Convert to fraction form
    22,189.75/33,289.49 = 8,338.75/x
  3. Step 3: Cross multiply
    22,189.75x = 33,289.49 × 8,338.75
  4. Step 4: Simplify right side
    22,189.75x = 277,592,734.74
  5. Step 5: Solve for x
    x = 277,592,734.74/22,189.75
  6. Step 6: Final answer
    x = 12,509.95

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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.