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Finding the Fourth Proportional to 12,418.99, 17,138.20 and 6,829.99

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Solution

The fourth proportional to 12,418.99, 17,138.20 and 6,829.99 is: 9,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418.99 : 17,138.20 = 6,829.99 : x
  2. Step 2: Convert to fraction form
    12,418.99/17,138.20 = 6,829.99/x
  3. Step 3: Cross multiply
    12,418.99x = 17,138.20 × 6,829.99
  4. Step 4: Simplify right side
    12,418.99x = 117,053,734.62
  5. Step 5: Solve for x
    x = 117,053,734.62/12,418.99
  6. Step 6: Final answer
    x = 9,425.38

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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.