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Finding the Fourth Proportional to 23,400.50, 35,091.41 and 13,546.71

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Solution

The fourth proportional to 23,400.50, 35,091.41 and 13,546.71 is: 20,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.50 : 35,091.41 = 13,546.71 : x
  2. Step 2: Convert to fraction form
    23,400.50/35,091.41 = 13,546.71/x
  3. Step 3: Cross multiply
    23,400.50x = 35,091.41 × 13,546.71
  4. Step 4: Simplify right side
    23,400.50x = 475,373,087.03
  5. Step 5: Solve for x
    x = 475,373,087.03/23,400.50
  6. Step 6: Final answer
    x = 20,314.66

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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.