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Finding the Fourth Proportional to 30,198.72, 45,286.43 and 11,468.89

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Solution

The fourth proportional to 30,198.72, 45,286.43 and 11,468.89 is: 17,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.72 : 45,286.43 = 11,468.89 : x
  2. Step 2: Convert to fraction form
    30,198.72/45,286.43 = 11,468.89/x
  3. Step 3: Cross multiply
    30,198.72x = 45,286.43 × 11,468.89
  4. Step 4: Simplify right side
    30,198.72x = 519,384,857.73
  5. Step 5: Solve for x
    x = 519,384,857.73/30,198.72
  6. Step 6: Final answer
    x = 17,198.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.