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Finding the Fourth Proportional to 20,818.72, 31,227.92 and 8,498.08

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Solution

The fourth proportional to 20,818.72, 31,227.92 and 8,498.08 is: 12,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818.72 : 31,227.92 = 8,498.08 : x
  2. Step 2: Convert to fraction form
    20,818.72/31,227.92 = 8,498.08/x
  3. Step 3: Cross multiply
    20,818.72x = 31,227.92 × 8,498.08
  4. Step 4: Simplify right side
    20,818.72x = 265,377,362.39
  5. Step 5: Solve for x
    x = 265,377,362.39/20,818.72
  6. Step 6: Final answer
    x = 12,747.05

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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.