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Finding the Fourth Proportional to 20,144.70, 30,221.85 and 9,747.90

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Solution

The fourth proportional to 20,144.70, 30,221.85 and 9,747.90 is: 14,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.70 : 30,221.85 = 9,747.90 : x
  2. Step 2: Convert to fraction form
    20,144.70/30,221.85 = 9,747.90/x
  3. Step 3: Cross multiply
    20,144.70x = 30,221.85 × 9,747.90
  4. Step 4: Simplify right side
    20,144.70x = 294,599,571.62
  5. Step 5: Solve for x
    x = 294,599,571.62/20,144.70
  6. Step 6: Final answer
    x = 14,624.17

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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.