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Finding the Fourth Proportional to 23,977, 33,091.14 and 14,041

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Solution

The fourth proportional to 23,977, 33,091.14 and 14,041 is: 19,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977 : 33,091.14 = 14,041 : x
  2. Step 2: Convert to fraction form
    23,977/33,091.14 = 14,041/x
  3. Step 3: Cross multiply
    23,977x = 33,091.14 × 14,041
  4. Step 4: Simplify right side
    23,977x = 464,632,696.74
  5. Step 5: Solve for x
    x = 464,632,696.74/23,977
  6. Step 6: Final answer
    x = 19,378.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.