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Finding the Fourth Proportional to 20,713.78, 31,058.38 and 8,227.09

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Solution

The fourth proportional to 20,713.78, 31,058.38 and 8,227.09 is: 12,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,713.78 : 31,058.38 = 8,227.09 : x
  2. Step 2: Convert to fraction form
    20,713.78/31,058.38 = 8,227.09/x
  3. Step 3: Cross multiply
    20,713.78x = 31,058.38 × 8,227.09
  4. Step 4: Simplify right side
    20,713.78x = 255,520,087.51
  5. Step 5: Solve for x
    x = 255,520,087.51/20,713.78
  6. Step 6: Final answer
    x = 12,335.75

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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.