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Finding the Fourth Proportional to 27,739.62, 41,608.20 and 7,749.24

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Solution

The fourth proportional to 27,739.62, 41,608.20 and 7,749.24 is: 11,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,739.62 : 41,608.20 = 7,749.24 : x
  2. Step 2: Convert to fraction form
    27,739.62/41,608.20 = 7,749.24/x
  3. Step 3: Cross multiply
    27,739.62x = 41,608.20 × 7,749.24
  4. Step 4: Simplify right side
    27,739.62x = 322,431,927.77
  5. Step 5: Solve for x
    x = 322,431,927.77/27,739.62
  6. Step 6: Final answer
    x = 11,623.52

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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.