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Finding the Fourth Proportional to 20,231.20, 30,314.40 and 12,822.40

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Solution

The fourth proportional to 20,231.20, 30,314.40 and 12,822.40 is: 19,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,231.20 : 30,314.40 = 12,822.40 : x
  2. Step 2: Convert to fraction form
    20,231.20/30,314.40 = 12,822.40/x
  3. Step 3: Cross multiply
    20,231.20x = 30,314.40 × 12,822.40
  4. Step 4: Simplify right side
    20,231.20x = 388,703,362.56
  5. Step 5: Solve for x
    x = 388,703,362.56/20,231.20
  6. Step 6: Final answer
    x = 19,213.07

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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.