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Finding the Fourth Proportional to 18,205.86, 27,311.83 and 6,362.96

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Solution

The fourth proportional to 18,205.86, 27,311.83 and 6,362.96 is: 9,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.86 : 27,311.83 = 6,362.96 : x
  2. Step 2: Convert to fraction form
    18,205.86/27,311.83 = 6,362.96/x
  3. Step 3: Cross multiply
    18,205.86x = 27,311.83 × 6,362.96
  4. Step 4: Simplify right side
    18,205.86x = 173,783,965.14
  5. Step 5: Solve for x
    x = 173,783,965.14/18,205.86
  6. Step 6: Final answer
    x = 9,545.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.