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Finding the Fourth Proportional to 26,696.32, 40,044.86 and 6,974.88

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Solution

The fourth proportional to 26,696.32, 40,044.86 and 6,974.88 is: 10,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,696.32 : 40,044.86 = 6,974.88 : x
  2. Step 2: Convert to fraction form
    26,696.32/40,044.86 = 6,974.88/x
  3. Step 3: Cross multiply
    26,696.32x = 40,044.86 × 6,974.88
  4. Step 4: Simplify right side
    26,696.32x = 279,308,093.12
  5. Step 5: Solve for x
    x = 279,308,093.12/26,696.32
  6. Step 6: Final answer
    x = 10,462.42

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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.