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Finding the Fourth Proportional to 20,221.99, 30,294.70 and 11,463.05

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Solution

The fourth proportional to 20,221.99, 30,294.70 and 11,463.05 is: 17,172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.99 : 30,294.70 = 11,463.05 : x
  2. Step 2: Convert to fraction form
    20,221.99/30,294.70 = 11,463.05/x
  3. Step 3: Cross multiply
    20,221.99x = 30,294.70 × 11,463.05
  4. Step 4: Simplify right side
    20,221.99x = 347,269,660.84
  5. Step 5: Solve for x
    x = 347,269,660.84/20,221.99
  6. Step 6: Final answer
    x = 17,172.87

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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.