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Finding the Fourth Proportional to 17,909.82, 24,727.86 and 11,198.70

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Solution

The fourth proportional to 17,909.82, 24,727.86 and 11,198.70 is: 15,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.82 : 24,727.86 = 11,198.70 : x
  2. Step 2: Convert to fraction form
    17,909.82/24,727.86 = 11,198.70/x
  3. Step 3: Cross multiply
    17,909.82x = 24,727.86 × 11,198.70
  4. Step 4: Simplify right side
    17,909.82x = 276,919,885.78
  5. Step 5: Solve for x
    x = 276,919,885.78/17,909.82
  6. Step 6: Final answer
    x = 15,461.90

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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.