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Finding the Fourth Proportional to 20,235.20, 27,942.20 and 12,694.49

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Solution

The fourth proportional to 20,235.20, 27,942.20 and 12,694.49 is: 17,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.20 : 27,942.20 = 12,694.49 : x
  2. Step 2: Convert to fraction form
    20,235.20/27,942.20 = 12,694.49/x
  3. Step 3: Cross multiply
    20,235.20x = 27,942.20 × 12,694.49
  4. Step 4: Simplify right side
    20,235.20x = 354,711,978.48
  5. Step 5: Solve for x
    x = 354,711,978.48/20,235.20
  6. Step 6: Final answer
    x = 17,529.45

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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.