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Finding the Fourth Proportional to 12,161.66, 18,235.61 and 7,234.43

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Solution

The fourth proportional to 12,161.66, 18,235.61 and 7,234.43 is: 10,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.66 : 18,235.61 = 7,234.43 : x
  2. Step 2: Convert to fraction form
    12,161.66/18,235.61 = 7,234.43/x
  3. Step 3: Cross multiply
    12,161.66x = 18,235.61 × 7,234.43
  4. Step 4: Simplify right side
    12,161.66x = 131,924,207.88
  5. Step 5: Solve for x
    x = 131,924,207.88/12,161.66
  6. Step 6: Final answer
    x = 10,847.55

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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.