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Finding the Fourth Proportional to 12,198.39, 16,829.25 and 7,162.83

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Solution

The fourth proportional to 12,198.39, 16,829.25 and 7,162.83 is: 9,882.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.39 : 16,829.25 = 7,162.83 : x
  2. Step 2: Convert to fraction form
    12,198.39/16,829.25 = 7,162.83/x
  3. Step 3: Cross multiply
    12,198.39x = 16,829.25 × 7,162.83
  4. Step 4: Simplify right side
    12,198.39x = 120,545,056.78
  5. Step 5: Solve for x
    x = 120,545,056.78/12,198.39
  6. Step 6: Final answer
    x = 9,882.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.