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Finding the Fourth Proportional to 27,198.45, 40,814.01 and 9,666.95

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Solution

The fourth proportional to 27,198.45, 40,814.01 and 9,666.95 is: 14,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.45 : 40,814.01 = 9,666.95 : x
  2. Step 2: Convert to fraction form
    27,198.45/40,814.01 = 9,666.95/x
  3. Step 3: Cross multiply
    27,198.45x = 40,814.01 × 9,666.95
  4. Step 4: Simplify right side
    27,198.45x = 394,546,789.90
  5. Step 5: Solve for x
    x = 394,546,789.90/27,198.45
  6. Step 6: Final answer
    x = 14,506.22

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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.