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Finding the Fourth Proportional to 23,451.65, 35,179.31 and 6,811.96

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Solution

The fourth proportional to 23,451.65, 35,179.31 and 6,811.96 is: 10,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.65 : 35,179.31 = 6,811.96 : x
  2. Step 2: Convert to fraction form
    23,451.65/35,179.31 = 6,811.96/x
  3. Step 3: Cross multiply
    23,451.65x = 35,179.31 × 6,811.96
  4. Step 4: Simplify right side
    23,451.65x = 239,640,052.55
  5. Step 5: Solve for x
    x = 239,640,052.55/23,451.65
  6. Step 6: Final answer
    x = 10,218.47

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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.