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Finding the Fourth Proportional to 17,727.85, 26,591.75 and 8,234.98

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Solution

The fourth proportional to 17,727.85, 26,591.75 and 8,234.98 is: 12,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.85 : 26,591.75 = 8,234.98 : x
  2. Step 2: Convert to fraction form
    17,727.85/26,591.75 = 8,234.98/x
  3. Step 3: Cross multiply
    17,727.85x = 26,591.75 × 8,234.98
  4. Step 4: Simplify right side
    17,727.85x = 218,982,529.42
  5. Step 5: Solve for x
    x = 218,982,529.42/17,727.85
  6. Step 6: Final answer
    x = 12,352.46

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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.