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Finding the Fourth Proportional to 23,852.46, 35,782.82 and 8,057.61

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Solution

The fourth proportional to 23,852.46, 35,782.82 and 8,057.61 is: 12,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.46 : 35,782.82 = 8,057.61 : x
  2. Step 2: Convert to fraction form
    23,852.46/35,782.82 = 8,057.61/x
  3. Step 3: Cross multiply
    23,852.46x = 35,782.82 × 8,057.61
  4. Step 4: Simplify right side
    23,852.46x = 288,323,998.19
  5. Step 5: Solve for x
    x = 288,323,998.19/23,852.46
  6. Step 6: Final answer
    x = 12,087.81

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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.