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Finding the Fourth Proportional to 27,964.70, 41,938.15 and 9,241.24

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Solution

The fourth proportional to 27,964.70, 41,938.15 and 9,241.24 is: 13,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,964.70 : 41,938.15 = 9,241.24 : x
  2. Step 2: Convert to fraction form
    27,964.70/41,938.15 = 9,241.24/x
  3. Step 3: Cross multiply
    27,964.70x = 41,938.15 × 9,241.24
  4. Step 4: Simplify right side
    27,964.70x = 387,560,509.31
  5. Step 5: Solve for x
    x = 387,560,509.31/27,964.70
  6. Step 6: Final answer
    x = 13,858.92

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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.