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Finding the Fourth Proportional to 27,198.28, 40,801.53 and 9,663.94

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Solution

The fourth proportional to 27,198.28, 40,801.53 and 9,663.94 is: 14,497.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198.28 : 40,801.53 = 9,663.94 : x
  2. Step 2: Convert to fraction form
    27,198.28/40,801.53 = 9,663.94/x
  3. Step 3: Cross multiply
    27,198.28x = 40,801.53 × 9,663.94
  4. Step 4: Simplify right side
    27,198.28x = 394,303,333.82
  5. Step 5: Solve for x
    x = 394,303,333.82/27,198.28
  6. Step 6: Final answer
    x = 14,497.37

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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.