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Finding the Fourth Proportional to 27,561.06, 41,342.96 and 7,842.52

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Solution

The fourth proportional to 27,561.06, 41,342.96 and 7,842.52 is: 11,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,561.06 : 41,342.96 = 7,842.52 : x
  2. Step 2: Convert to fraction form
    27,561.06/41,342.96 = 7,842.52/x
  3. Step 3: Cross multiply
    27,561.06x = 41,342.96 × 7,842.52
  4. Step 4: Simplify right side
    27,561.06x = 324,233,017.83
  5. Step 5: Solve for x
    x = 324,233,017.83/27,561.06
  6. Step 6: Final answer
    x = 11,764.17

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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.