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Finding the Fourth Proportional to 23,641.12, 35,465.34 and 8,057.56

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Solution

The fourth proportional to 23,641.12, 35,465.34 and 8,057.56 is: 12,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641.12 : 35,465.34 = 8,057.56 : x
  2. Step 2: Convert to fraction form
    23,641.12/35,465.34 = 8,057.56/x
  3. Step 3: Cross multiply
    23,641.12x = 35,465.34 × 8,057.56
  4. Step 4: Simplify right side
    23,641.12x = 285,764,104.97
  5. Step 5: Solve for x
    x = 285,764,104.97/23,641.12
  6. Step 6: Final answer
    x = 12,087.59

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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.