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Finding the Fourth Proportional to 25,504, 35,198.82 and 14,326

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Solution

The fourth proportional to 25,504, 35,198.82 and 14,326 is: 19,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504 : 35,198.82 = 14,326 : x
  2. Step 2: Convert to fraction form
    25,504/35,198.82 = 14,326/x
  3. Step 3: Cross multiply
    25,504x = 35,198.82 × 14,326
  4. Step 4: Simplify right side
    25,504x = 504,258,295.32
  5. Step 5: Solve for x
    x = 504,258,295.32/25,504
  6. Step 6: Final answer
    x = 19,771.73

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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.