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Finding the Fourth Proportional to 27,334.66, 41,003.07 and 7,614.94

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Solution

The fourth proportional to 27,334.66, 41,003.07 and 7,614.94 is: 11,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,334.66 : 41,003.07 = 7,614.94 : x
  2. Step 2: Convert to fraction form
    27,334.66/41,003.07 = 7,614.94/x
  3. Step 3: Cross multiply
    27,334.66x = 41,003.07 × 7,614.94
  4. Step 4: Simplify right side
    27,334.66x = 312,235,917.87
  5. Step 5: Solve for x
    x = 312,235,917.87/27,334.66
  6. Step 6: Final answer
    x = 11,422.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.