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Finding the Fourth Proportional to 20,144.49, 30,217.02 and 6,997.11

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Solution

The fourth proportional to 20,144.49, 30,217.02 and 6,997.11 is: 10,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.49 : 30,217.02 = 6,997.11 : x
  2. Step 2: Convert to fraction form
    20,144.49/30,217.02 = 6,997.11/x
  3. Step 3: Cross multiply
    20,144.49x = 30,217.02 × 6,997.11
  4. Step 4: Simplify right side
    20,144.49x = 211,431,812.81
  5. Step 5: Solve for x
    x = 211,431,812.81/20,144.49
  6. Step 6: Final answer
    x = 10,495.76

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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.