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Finding the Fourth Proportional to 17,086.87, 25,630.31 and 5,401

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Solution

The fourth proportional to 17,086.87, 25,630.31 and 5,401 is: 8,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086.87 : 25,630.31 = 5,401 : x
  2. Step 2: Convert to fraction form
    17,086.87/25,630.31 = 5,401/x
  3. Step 3: Cross multiply
    17,086.87x = 25,630.31 × 5,401
  4. Step 4: Simplify right side
    17,086.87x = 138,429,304.31
  5. Step 5: Solve for x
    x = 138,429,304.31/17,086.87
  6. Step 6: Final answer
    x = 8,101.50

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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.