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Finding the Fourth Proportional to 25,857.27, 38,791.98 and 8,326.44

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Solution

The fourth proportional to 25,857.27, 38,791.98 and 8,326.44 is: 12,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,857.27 : 38,791.98 = 8,326.44 : x
  2. Step 2: Convert to fraction form
    25,857.27/38,791.98 = 8,326.44/x
  3. Step 3: Cross multiply
    25,857.27x = 38,791.98 × 8,326.44
  4. Step 4: Simplify right side
    25,857.27x = 322,999,093.95
  5. Step 5: Solve for x
    x = 322,999,093.95/25,857.27
  6. Step 6: Final answer
    x = 12,491.62

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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.