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Finding the Fourth Proportional to 17,540.82, 24,198.21 and 10,084.50

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Solution

The fourth proportional to 17,540.82, 24,198.21 and 10,084.50 is: 13,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.82 : 24,198.21 = 10,084.50 : x
  2. Step 2: Convert to fraction form
    17,540.82/24,198.21 = 10,084.50/x
  3. Step 3: Cross multiply
    17,540.82x = 24,198.21 × 10,084.50
  4. Step 4: Simplify right side
    17,540.82x = 244,026,848.75
  5. Step 5: Solve for x
    x = 244,026,848.75/17,540.82
  6. Step 6: Final answer
    x = 13,911.94

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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.