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Finding the Fourth Proportional to 23,786.84, 35,680.26 and 8,203.26

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Solution

The fourth proportional to 23,786.84, 35,680.26 and 8,203.26 is: 12,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.84 : 35,680.26 = 8,203.26 : x
  2. Step 2: Convert to fraction form
    23,786.84/35,680.26 = 8,203.26/x
  3. Step 3: Cross multiply
    23,786.84x = 35,680.26 × 8,203.26
  4. Step 4: Simplify right side
    23,786.84x = 292,694,449.65
  5. Step 5: Solve for x
    x = 292,694,449.65/23,786.84
  6. Step 6: Final answer
    x = 12,304.89

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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.