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Finding the Fourth Proportional to 23,524.86, 35,288.37 and 7,942.62

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Solution

The fourth proportional to 23,524.86, 35,288.37 and 7,942.62 is: 11,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.86 : 35,288.37 = 7,942.62 : x
  2. Step 2: Convert to fraction form
    23,524.86/35,288.37 = 7,942.62/x
  3. Step 3: Cross multiply
    23,524.86x = 35,288.37 × 7,942.62
  4. Step 4: Simplify right side
    23,524.86x = 280,282,113.33
  5. Step 5: Solve for x
    x = 280,282,113.33/23,524.86
  6. Step 6: Final answer
    x = 11,914.29

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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.