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Finding the Fourth Proportional to 20,843.91, 31,278.08 and 7,705.44

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Solution

The fourth proportional to 20,843.91, 31,278.08 and 7,705.44 is: 11,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843.91 : 31,278.08 = 7,705.44 : x
  2. Step 2: Convert to fraction form
    20,843.91/31,278.08 = 7,705.44/x
  3. Step 3: Cross multiply
    20,843.91x = 31,278.08 × 7,705.44
  4. Step 4: Simplify right side
    20,843.91x = 241,011,388.02
  5. Step 5: Solve for x
    x = 241,011,388.02/20,843.91
  6. Step 6: Final answer
    x = 11,562.68

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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.