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Finding the Fourth Proportional to 27,364.42, 41,029.34 and 11,561.24

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Solution

The fourth proportional to 27,364.42, 41,029.34 and 11,561.24 is: 17,334.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,364.42 : 41,029.34 = 11,561.24 : x
  2. Step 2: Convert to fraction form
    27,364.42/41,029.34 = 11,561.24/x
  3. Step 3: Cross multiply
    27,364.42x = 41,029.34 × 11,561.24
  4. Step 4: Simplify right side
    27,364.42x = 474,350,046.78
  5. Step 5: Solve for x
    x = 474,350,046.78/27,364.42
  6. Step 6: Final answer
    x = 17,334.56

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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.