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Finding the Fourth Proportional to 20,195.81, 30,306.67 and 9,801.89

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Solution

The fourth proportional to 20,195.81, 30,306.67 and 9,801.89 is: 14,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,195.81 : 30,306.67 = 9,801.89 : x
  2. Step 2: Convert to fraction form
    20,195.81/30,306.67 = 9,801.89/x
  3. Step 3: Cross multiply
    20,195.81x = 30,306.67 × 9,801.89
  4. Step 4: Simplify right side
    20,195.81x = 297,062,469.57
  5. Step 5: Solve for x
    x = 297,062,469.57/20,195.81
  6. Step 6: Final answer
    x = 14,709.12

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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.