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Finding the Fourth Proportional to 25,516, 35,212.26 and 14,338

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Solution

The fourth proportional to 25,516, 35,212.26 and 14,338 is: 19,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516 : 35,212.26 = 14,338 : x
  2. Step 2: Convert to fraction form
    25,516/35,212.26 = 14,338/x
  3. Step 3: Cross multiply
    25,516x = 35,212.26 × 14,338
  4. Step 4: Simplify right side
    25,516x = 504,873,383.88
  5. Step 5: Solve for x
    x = 504,873,383.88/25,516
  6. Step 6: Final answer
    x = 19,786.54

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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.