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Finding the Fourth Proportional to 36,906.95, 55,369.21 and 11,947

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Solution

The fourth proportional to 36,906.95, 55,369.21 and 11,947 is: 17,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.95 : 55,369.21 = 11,947 : x
  2. Step 2: Convert to fraction form
    36,906.95/55,369.21 = 11,947/x
  3. Step 3: Cross multiply
    36,906.95x = 55,369.21 × 11,947
  4. Step 4: Simplify right side
    36,906.95x = 661,495,951.87
  5. Step 5: Solve for x
    x = 661,495,951.87/36,906.95
  6. Step 6: Final answer
    x = 17,923.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.