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Finding the Fourth Proportional to 27,942.76, 41,910.56 and 9,218.16

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Solution

The fourth proportional to 27,942.76, 41,910.56 and 9,218.16 is: 13,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.76 : 41,910.56 = 9,218.16 : x
  2. Step 2: Convert to fraction form
    27,942.76/41,910.56 = 9,218.16/x
  3. Step 3: Cross multiply
    27,942.76x = 41,910.56 × 9,218.16
  4. Step 4: Simplify right side
    27,942.76x = 386,338,270.82
  5. Step 5: Solve for x
    x = 386,338,270.82/27,942.76
  6. Step 6: Final answer
    x = 13,826.06

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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.