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Finding the Fourth Proportional to 26,913.15, 40,371.79 and 8,194.79

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Solution

The fourth proportional to 26,913.15, 40,371.79 and 8,194.79 is: 12,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,913.15 : 40,371.79 = 8,194.79 : x
  2. Step 2: Convert to fraction form
    26,913.15/40,371.79 = 8,194.79/x
  3. Step 3: Cross multiply
    26,913.15x = 40,371.79 × 8,194.79
  4. Step 4: Simplify right side
    26,913.15x = 330,838,340.97
  5. Step 5: Solve for x
    x = 330,838,340.97/26,913.15
  6. Step 6: Final answer
    x = 12,292.81

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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.