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Finding the Fourth Proportional to 27,992.58, 41,991.09 and 9,271.86

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Solution

The fourth proportional to 27,992.58, 41,991.09 and 9,271.86 is: 13,908.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992.58 : 41,991.09 = 9,271.86 : x
  2. Step 2: Convert to fraction form
    27,992.58/41,991.09 = 9,271.86/x
  3. Step 3: Cross multiply
    27,992.58x = 41,991.09 × 9,271.86
  4. Step 4: Simplify right side
    27,992.58x = 389,335,507.73
  5. Step 5: Solve for x
    x = 389,335,507.73/27,992.58
  6. Step 6: Final answer
    x = 13,908.53

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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.