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Finding the Fourth Proportional to 23,940.26, 35,926.79 and 8,357.88

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Solution

The fourth proportional to 23,940.26, 35,926.79 and 8,357.88 is: 12,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,940.26 : 35,926.79 = 8,357.88 : x
  2. Step 2: Convert to fraction form
    23,940.26/35,926.79 = 8,357.88/x
  3. Step 3: Cross multiply
    23,940.26x = 35,926.79 × 8,357.88
  4. Step 4: Simplify right side
    23,940.26x = 300,271,757.82
  5. Step 5: Solve for x
    x = 300,271,757.82/23,940.26
  6. Step 6: Final answer
    x = 12,542.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.