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Finding the Fourth Proportional to 22,230.80, 30,694.57 and 13,744.56

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Solution

The fourth proportional to 22,230.80, 30,694.57 and 13,744.56 is: 18,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,230.80 : 30,694.57 = 13,744.56 : x
  2. Step 2: Convert to fraction form
    22,230.80/30,694.57 = 13,744.56/x
  3. Step 3: Cross multiply
    22,230.80x = 30,694.57 × 13,744.56
  4. Step 4: Simplify right side
    22,230.80x = 421,883,359.04
  5. Step 5: Solve for x
    x = 421,883,359.04/22,230.80
  6. Step 6: Final answer
    x = 18,977.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.