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Finding the Fourth Proportional to 20,843.44, 31,243.20 and 12,946

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Solution

The fourth proportional to 20,843.44, 31,243.20 and 12,946 is: 19,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.44 : 31,243.20 = 12,946 : x
  2. Step 2: Convert to fraction form
    20,843.44/31,243.20 = 12,946/x
  3. Step 3: Cross multiply
    20,843.44x = 31,243.20 × 12,946
  4. Step 4: Simplify right side
    20,843.44x = 404,474,467.20
  5. Step 5: Solve for x
    x = 404,474,467.20/20,843.44
  6. Step 6: Final answer
    x = 19,405.36

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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.