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Finding the Fourth Proportional to 20,828.84, 31,243.62 and 7,674.44

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Solution

The fourth proportional to 20,828.84, 31,243.62 and 7,674.44 is: 11,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828.84 : 31,243.62 = 7,674.44 : x
  2. Step 2: Convert to fraction form
    20,828.84/31,243.62 = 7,674.44/x
  3. Step 3: Cross multiply
    20,828.84x = 31,243.62 × 7,674.44
  4. Step 4: Simplify right side
    20,828.84x = 239,777,287.07
  5. Step 5: Solve for x
    x = 239,777,287.07/20,828.84
  6. Step 6: Final answer
    x = 11,511.79

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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.