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Finding the Fourth Proportional to 21,286.30, 31,936.74 and 8,142.43

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Solution

The fourth proportional to 21,286.30, 31,936.74 and 8,142.43 is: 12,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,286.30 : 31,936.74 = 8,142.43 : x
  2. Step 2: Convert to fraction form
    21,286.30/31,936.74 = 8,142.43/x
  3. Step 3: Cross multiply
    21,286.30x = 31,936.74 × 8,142.43
  4. Step 4: Simplify right side
    21,286.30x = 260,042,669.88
  5. Step 5: Solve for x
    x = 260,042,669.88/21,286.30
  6. Step 6: Final answer
    x = 12,216.43

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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.