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Finding the Fourth Proportional to 21,255.29, 31,881.78 and 6,463.06

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Solution

The fourth proportional to 21,255.29, 31,881.78 and 6,463.06 is: 9,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.29 : 31,881.78 = 6,463.06 : x
  2. Step 2: Convert to fraction form
    21,255.29/31,881.78 = 6,463.06/x
  3. Step 3: Cross multiply
    21,255.29x = 31,881.78 × 6,463.06
  4. Step 4: Simplify right side
    21,255.29x = 206,053,857.05
  5. Step 5: Solve for x
    x = 206,053,857.05/21,255.29
  6. Step 6: Final answer
    x = 9,694.24

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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.