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Finding the Fourth Proportional to 17,524.89, 24,185.04 and 9,971.91

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Solution

The fourth proportional to 17,524.89, 24,185.04 and 9,971.91 is: 13,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.89 : 24,185.04 = 9,971.91 : x
  2. Step 2: Convert to fraction form
    17,524.89/24,185.04 = 9,971.91/x
  3. Step 3: Cross multiply
    17,524.89x = 24,185.04 × 9,971.91
  4. Step 4: Simplify right side
    17,524.89x = 241,171,042.23
  5. Step 5: Solve for x
    x = 241,171,042.23/17,524.89
  6. Step 6: Final answer
    x = 13,761.63

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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.