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Finding the Fourth Proportional to 27,566.69, 41,343.81 and 7,844.81

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Solution

The fourth proportional to 27,566.69, 41,343.81 and 7,844.81 is: 11,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.69 : 41,343.81 = 7,844.81 : x
  2. Step 2: Convert to fraction form
    27,566.69/41,343.81 = 7,844.81/x
  3. Step 3: Cross multiply
    27,566.69x = 41,343.81 × 7,844.81
  4. Step 4: Simplify right side
    27,566.69x = 324,334,334.13
  5. Step 5: Solve for x
    x = 324,334,334.13/27,566.69
  6. Step 6: Final answer
    x = 11,765.44

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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.