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Finding the Fourth Proportional to 25,092.75, 34,628.04 and 13,914.75

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Solution

The fourth proportional to 25,092.75, 34,628.04 and 13,914.75 is: 19,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092.75 : 34,628.04 = 13,914.75 : x
  2. Step 2: Convert to fraction form
    25,092.75/34,628.04 = 13,914.75/x
  3. Step 3: Cross multiply
    25,092.75x = 34,628.04 × 13,914.75
  4. Step 4: Simplify right side
    25,092.75x = 481,840,519.59
  5. Step 5: Solve for x
    x = 481,840,519.59/25,092.75
  6. Step 6: Final answer
    x = 19,202.38

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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.