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Finding the Fourth Proportional to 27,566.70, 41,343.80 and 7,844.82

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Solution

The fourth proportional to 27,566.70, 41,343.80 and 7,844.82 is: 11,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,566.70 : 41,343.80 = 7,844.82 : x
  2. Step 2: Convert to fraction form
    27,566.70/41,343.80 = 7,844.82/x
  3. Step 3: Cross multiply
    27,566.70x = 41,343.80 × 7,844.82
  4. Step 4: Simplify right side
    27,566.70x = 324,334,669.12
  5. Step 5: Solve for x
    x = 324,334,669.12/27,566.70
  6. Step 6: Final answer
    x = 11,765.45

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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.