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Finding the Fourth Proportional to 17,297.88, 25,924.26 and 7,934.52

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Solution

The fourth proportional to 17,297.88, 25,924.26 and 7,934.52 is: 11,891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297.88 : 25,924.26 = 7,934.52 : x
  2. Step 2: Convert to fraction form
    17,297.88/25,924.26 = 7,934.52/x
  3. Step 3: Cross multiply
    17,297.88x = 25,924.26 × 7,934.52
  4. Step 4: Simplify right side
    17,297.88x = 205,696,559.46
  5. Step 5: Solve for x
    x = 205,696,559.46/17,297.88
  6. Step 6: Final answer
    x = 11,891.43

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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.