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Finding the Fourth Proportional to 21,223.31, 31,791.22 and 12,431.57

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Solution

The fourth proportional to 21,223.31, 31,791.22 and 12,431.57 is: 18,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.31 : 31,791.22 = 12,431.57 : x
  2. Step 2: Convert to fraction form
    21,223.31/31,791.22 = 12,431.57/x
  3. Step 3: Cross multiply
    21,223.31x = 31,791.22 × 12,431.57
  4. Step 4: Simplify right side
    21,223.31x = 395,214,714.66
  5. Step 5: Solve for x
    x = 395,214,714.66/21,223.31
  6. Step 6: Final answer
    x = 18,621.73

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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.