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Finding the Fourth Proportional to 27,481.47, 41,223.93 and 7,761.57

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Solution

The fourth proportional to 27,481.47, 41,223.93 and 7,761.57 is: 11,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481.47 : 41,223.93 = 7,761.57 : x
  2. Step 2: Convert to fraction form
    27,481.47/41,223.93 = 7,761.57/x
  3. Step 3: Cross multiply
    27,481.47x = 41,223.93 × 7,761.57
  4. Step 4: Simplify right side
    27,481.47x = 319,962,418.37
  5. Step 5: Solve for x
    x = 319,962,418.37/27,481.47
  6. Step 6: Final answer
    x = 11,642.84

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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.