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Finding the Fourth Proportional to 27,641.66, 41,469.64 and 7,921.66

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Solution

The fourth proportional to 27,641.66, 41,469.64 and 7,921.66 is: 11,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.66 : 41,469.64 = 7,921.66 : x
  2. Step 2: Convert to fraction form
    27,641.66/41,469.64 = 7,921.66/x
  3. Step 3: Cross multiply
    27,641.66x = 41,469.64 × 7,921.66
  4. Step 4: Simplify right side
    27,641.66x = 328,508,388.40
  5. Step 5: Solve for x
    x = 328,508,388.40/27,641.66
  6. Step 6: Final answer
    x = 11,884.54

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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.