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Finding the Fourth Proportional to 12,205.35, 16,841.39 and 7,168.50

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Solution

The fourth proportional to 12,205.35, 16,841.39 and 7,168.50 is: 9,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.35 : 16,841.39 = 7,168.50 : x
  2. Step 2: Convert to fraction form
    12,205.35/16,841.39 = 7,168.50/x
  3. Step 3: Cross multiply
    12,205.35x = 16,841.39 × 7,168.50
  4. Step 4: Simplify right side
    12,205.35x = 120,727,468.37
  5. Step 5: Solve for x
    x = 120,727,468.37/12,205.35
  6. Step 6: Final answer
    x = 9,891.36

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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.