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Finding the Fourth Proportional to 20,868.69, 31,304.73 and 6,828.42

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Solution

The fourth proportional to 20,868.69, 31,304.73 and 6,828.42 is: 10,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,868.69 : 31,304.73 = 6,828.42 : x
  2. Step 2: Convert to fraction form
    20,868.69/31,304.73 = 6,828.42/x
  3. Step 3: Cross multiply
    20,868.69x = 31,304.73 × 6,828.42
  4. Step 4: Simplify right side
    20,868.69x = 213,761,844.43
  5. Step 5: Solve for x
    x = 213,761,844.43/20,868.69
  6. Step 6: Final answer
    x = 10,243.18

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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.