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Finding the Fourth Proportional to 20,164.62, 30,243.69 and 6,313.62

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Solution

The fourth proportional to 20,164.62, 30,243.69 and 6,313.62 is: 9,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.62 : 30,243.69 = 6,313.62 : x
  2. Step 2: Convert to fraction form
    20,164.62/30,243.69 = 6,313.62/x
  3. Step 3: Cross multiply
    20,164.62x = 30,243.69 × 6,313.62
  4. Step 4: Simplify right side
    20,164.62x = 190,947,166.06
  5. Step 5: Solve for x
    x = 190,947,166.06/20,164.62
  6. Step 6: Final answer
    x = 9,469.42

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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.