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Finding the Fourth Proportional to 21,227.27, 31,842.52 and 5,644.49

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Solution

The fourth proportional to 21,227.27, 31,842.52 and 5,644.49 is: 8,467.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,227.27 : 31,842.52 = 5,644.49 : x
  2. Step 2: Convert to fraction form
    21,227.27/31,842.52 = 5,644.49/x
  3. Step 3: Cross multiply
    21,227.27x = 31,842.52 × 5,644.49
  4. Step 4: Simplify right side
    21,227.27x = 179,734,612.39
  5. Step 5: Solve for x
    x = 179,734,612.39/21,227.27
  6. Step 6: Final answer
    x = 8,467.16

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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.