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Finding the Fourth Proportional to 15,822.33, 23,733.49 and 5,963.82

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Solution

The fourth proportional to 15,822.33, 23,733.49 and 5,963.82 is: 8,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.33 : 23,733.49 = 5,963.82 : x
  2. Step 2: Convert to fraction form
    15,822.33/23,733.49 = 5,963.82/x
  3. Step 3: Cross multiply
    15,822.33x = 23,733.49 × 5,963.82
  4. Step 4: Simplify right side
    15,822.33x = 141,542,262.33
  5. Step 5: Solve for x
    x = 141,542,262.33/15,822.33
  6. Step 6: Final answer
    x = 8,945.73

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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.