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Finding the Fourth Proportional to 11,462.20, 17,198.70 and 8,546.20

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Solution

The fourth proportional to 11,462.20, 17,198.70 and 8,546.20 is: 12,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.20 : 17,198.70 = 8,546.20 : x
  2. Step 2: Convert to fraction form
    11,462.20/17,198.70 = 8,546.20/x
  3. Step 3: Cross multiply
    11,462.20x = 17,198.70 × 8,546.20
  4. Step 4: Simplify right side
    11,462.20x = 146,983,529.94
  5. Step 5: Solve for x
    x = 146,983,529.94/11,462.20
  6. Step 6: Final answer
    x = 12,823.33

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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.