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Finding the Fourth Proportional to 26,942.88, 40,420.80 and 8,474.88

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Solution

The fourth proportional to 26,942.88, 40,420.80 and 8,474.88 is: 12,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942.88 : 40,420.80 = 8,474.88 : x
  2. Step 2: Convert to fraction form
    26,942.88/40,420.80 = 8,474.88/x
  3. Step 3: Cross multiply
    26,942.88x = 40,420.80 × 8,474.88
  4. Step 4: Simplify right side
    26,942.88x = 342,561,429.50
  5. Step 5: Solve for x
    x = 342,561,429.50/26,942.88
  6. Step 6: Final answer
    x = 12,714.36

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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.