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Finding the Fourth Proportional to 27,953.27, 41,921.01 and 9,229.82

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Solution

The fourth proportional to 27,953.27, 41,921.01 and 9,229.82 is: 13,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,953.27 : 41,921.01 = 9,229.82 : x
  2. Step 2: Convert to fraction form
    27,953.27/41,921.01 = 9,229.82/x
  3. Step 3: Cross multiply
    27,953.27x = 41,921.01 × 9,229.82
  4. Step 4: Simplify right side
    27,953.27x = 386,923,271.72
  5. Step 5: Solve for x
    x = 386,923,271.72/27,953.27
  6. Step 6: Final answer
    x = 13,841.79

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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.