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Finding the Fourth Proportional to 21,252.73, 31,882.74 and 6,463.12

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Solution

The fourth proportional to 21,252.73, 31,882.74 and 6,463.12 is: 9,695.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,252.73 : 31,882.74 = 6,463.12 : x
  2. Step 2: Convert to fraction form
    21,252.73/31,882.74 = 6,463.12/x
  3. Step 3: Cross multiply
    21,252.73x = 31,882.74 × 6,463.12
  4. Step 4: Simplify right side
    21,252.73x = 206,061,974.55
  5. Step 5: Solve for x
    x = 206,061,974.55/21,252.73
  6. Step 6: Final answer
    x = 9,695.79

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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.