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Finding the Fourth Proportional to 12,154.86, 18,222.57 and 5,234.22

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Solution

The fourth proportional to 12,154.86, 18,222.57 and 5,234.22 is: 7,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.86 : 18,222.57 = 5,234.22 : x
  2. Step 2: Convert to fraction form
    12,154.86/18,222.57 = 5,234.22/x
  3. Step 3: Cross multiply
    12,154.86x = 18,222.57 × 5,234.22
  4. Step 4: Simplify right side
    12,154.86x = 95,380,940.35
  5. Step 5: Solve for x
    x = 95,380,940.35/12,154.86
  6. Step 6: Final answer
    x = 7,847.14

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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.