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Finding the Fourth Proportional to 18,175.86, 25,067.14 and 12,519.63

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Solution

The fourth proportional to 18,175.86, 25,067.14 and 12,519.63 is: 17,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175.86 : 25,067.14 = 12,519.63 : x
  2. Step 2: Convert to fraction form
    18,175.86/25,067.14 = 12,519.63/x
  3. Step 3: Cross multiply
    18,175.86x = 25,067.14 × 12,519.63
  4. Step 4: Simplify right side
    18,175.86x = 313,831,286.66
  5. Step 5: Solve for x
    x = 313,831,286.66/18,175.86
  6. Step 6: Final answer
    x = 17,266.38

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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.