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Finding the Fourth Proportional to 12,198.34, 16,833.84 and 7,162.62

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Solution

The fourth proportional to 12,198.34, 16,833.84 and 7,162.62 is: 9,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.34 : 16,833.84 = 7,162.62 : x
  2. Step 2: Convert to fraction form
    12,198.34/16,833.84 = 7,162.62/x
  3. Step 3: Cross multiply
    12,198.34x = 16,833.84 × 7,162.62
  4. Step 4: Simplify right side
    12,198.34x = 120,574,366.49
  5. Step 5: Solve for x
    x = 120,574,366.49/12,198.34
  6. Step 6: Final answer
    x = 9,884.49

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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.