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Finding the Fourth Proportional to 11,202.35, 16,757.33 and 9,205.52

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Solution

The fourth proportional to 11,202.35, 16,757.33 and 9,205.52 is: 13,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202.35 : 16,757.33 = 9,205.52 : x
  2. Step 2: Convert to fraction form
    11,202.35/16,757.33 = 9,205.52/x
  3. Step 3: Cross multiply
    11,202.35x = 16,757.33 × 9,205.52
  4. Step 4: Simplify right side
    11,202.35x = 154,259,806.65
  5. Step 5: Solve for x
    x = 154,259,806.65/11,202.35
  6. Step 6: Final answer
    x = 13,770.31

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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.