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Finding the Fourth Proportional to 26,906.64, 40,358.58 and 8,186.61

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Solution

The fourth proportional to 26,906.64, 40,358.58 and 8,186.61 is: 12,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.64 : 40,358.58 = 8,186.61 : x
  2. Step 2: Convert to fraction form
    26,906.64/40,358.58 = 8,186.61/x
  3. Step 3: Cross multiply
    26,906.64x = 40,358.58 × 8,186.61
  4. Step 4: Simplify right side
    26,906.64x = 330,399,954.61
  5. Step 5: Solve for x
    x = 330,399,954.61/26,906.64
  6. Step 6: Final answer
    x = 12,279.50

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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.