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Finding the Fourth Proportional to 26,906.94, 40,360.50 and 9,364.50

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Solution

The fourth proportional to 26,906.94, 40,360.50 and 9,364.50 is: 14,046.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,906.94 : 40,360.50 = 9,364.50 : x
  2. Step 2: Convert to fraction form
    26,906.94/40,360.50 = 9,364.50/x
  3. Step 3: Cross multiply
    26,906.94x = 40,360.50 × 9,364.50
  4. Step 4: Simplify right side
    26,906.94x = 377,955,902.25
  5. Step 5: Solve for x
    x = 377,955,902.25/26,906.94
  6. Step 6: Final answer
    x = 14,046.78

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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.