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Finding the Fourth Proportional to 16,799, 25,198.74 and 5,855

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Solution

The fourth proportional to 16,799, 25,198.74 and 5,855 is: 8,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,799 : 25,198.74 = 5,855 : x
  2. Step 2: Convert to fraction form
    16,799/25,198.74 = 5,855/x
  3. Step 3: Cross multiply
    16,799x = 25,198.74 × 5,855
  4. Step 4: Simplify right side
    16,799x = 147,538,622.70
  5. Step 5: Solve for x
    x = 147,538,622.70/16,799
  6. Step 6: Final answer
    x = 8,782.58

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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.