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Finding the Fourth Proportional to 26,929, 40,394.94 and 8,462.44

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Solution

The fourth proportional to 26,929, 40,394.94 and 8,462.44 is: 12,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,929 : 40,394.94 = 8,462.44 : x
  2. Step 2: Convert to fraction form
    26,929/40,394.94 = 8,462.44/x
  3. Step 3: Cross multiply
    26,929x = 40,394.94 × 8,462.44
  4. Step 4: Simplify right side
    26,929x = 341,839,756.05
  5. Step 5: Solve for x
    x = 341,839,756.05/26,929
  6. Step 6: Final answer
    x = 12,694.11

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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.