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Finding the Fourth Proportional to 15,922.37, 23,874.39 and 6,568.82

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Solution

The fourth proportional to 15,922.37, 23,874.39 and 6,568.82 is: 9,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.37 : 23,874.39 = 6,568.82 : x
  2. Step 2: Convert to fraction form
    15,922.37/23,874.39 = 6,568.82/x
  3. Step 3: Cross multiply
    15,922.37x = 23,874.39 × 6,568.82
  4. Step 4: Simplify right side
    15,922.37x = 156,826,451.15
  5. Step 5: Solve for x
    x = 156,826,451.15/15,922.37
  6. Step 6: Final answer
    x = 9,849.44

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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.