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Finding the Fourth Proportional to 11,841.78, 17,761.26 and 9,211.92

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Solution

The fourth proportional to 11,841.78, 17,761.26 and 9,211.92 is: 13,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.78 : 17,761.26 = 9,211.92 : x
  2. Step 2: Convert to fraction form
    11,841.78/17,761.26 = 9,211.92/x
  3. Step 3: Cross multiply
    11,841.78x = 17,761.26 × 9,211.92
  4. Step 4: Simplify right side
    11,841.78x = 163,615,306.22
  5. Step 5: Solve for x
    x = 163,615,306.22/11,841.78
  6. Step 6: Final answer
    x = 13,816.78

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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.