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Finding the Fourth Proportional to 21,251.73, 31,881.24 and 6,462.12

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Solution

The fourth proportional to 21,251.73, 31,881.24 and 6,462.12 is: 9,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.73 : 31,881.24 = 6,462.12 : x
  2. Step 2: Convert to fraction form
    21,251.73/31,881.24 = 6,462.12/x
  3. Step 3: Cross multiply
    21,251.73x = 31,881.24 × 6,462.12
  4. Step 4: Simplify right side
    21,251.73x = 206,020,398.63
  5. Step 5: Solve for x
    x = 206,020,398.63/21,251.73
  6. Step 6: Final answer
    x = 9,694.29

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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.