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Finding the Fourth Proportional to 20,676.47, 30,997.08 and 8,193.56

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Solution

The fourth proportional to 20,676.47, 30,997.08 and 8,193.56 is: 12,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676.47 : 30,997.08 = 8,193.56 : x
  2. Step 2: Convert to fraction form
    20,676.47/30,997.08 = 8,193.56/x
  3. Step 3: Cross multiply
    20,676.47x = 30,997.08 × 8,193.56
  4. Step 4: Simplify right side
    20,676.47x = 253,976,279.82
  5. Step 5: Solve for x
    x = 253,976,279.82/20,676.47
  6. Step 6: Final answer
    x = 12,283.35

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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.