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Finding the Fourth Proportional to 23,836.22, 35,743.23 and 8,842.73

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Solution

The fourth proportional to 23,836.22, 35,743.23 and 8,842.73 is: 13,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.22 : 35,743.23 = 8,842.73 : x
  2. Step 2: Convert to fraction form
    23,836.22/35,743.23 = 8,842.73/x
  3. Step 3: Cross multiply
    23,836.22x = 35,743.23 × 8,842.73
  4. Step 4: Simplify right side
    23,836.22x = 316,067,553.50
  5. Step 5: Solve for x
    x = 316,067,553.50/23,836.22
  6. Step 6: Final answer
    x = 13,259.97

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Why These Related Problems?

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