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Finding the Fourth Proportional to 11,841.96, 16,323.66 and 8,853.24

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Solution

The fourth proportional to 11,841.96, 16,323.66 and 8,853.24 is: 12,203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.96 : 16,323.66 = 8,853.24 : x
  2. Step 2: Convert to fraction form
    11,841.96/16,323.66 = 8,853.24/x
  3. Step 3: Cross multiply
    11,841.96x = 16,323.66 × 8,853.24
  4. Step 4: Simplify right side
    11,841.96x = 144,517,279.66
  5. Step 5: Solve for x
    x = 144,517,279.66/11,841.96
  6. Step 6: Final answer
    x = 12,203.83

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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.