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Finding the Fourth Proportional to 12,161.46, 18,234.90 and 5,909.16

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Solution

The fourth proportional to 12,161.46, 18,234.90 and 5,909.16 is: 8,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.46 : 18,234.90 = 5,909.16 : x
  2. Step 2: Convert to fraction form
    12,161.46/18,234.90 = 5,909.16/x
  3. Step 3: Cross multiply
    12,161.46x = 18,234.90 × 5,909.16
  4. Step 4: Simplify right side
    12,161.46x = 107,752,941.68
  5. Step 5: Solve for x
    x = 107,752,941.68/12,161.46
  6. Step 6: Final answer
    x = 8,860.20

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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.