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Finding the Fourth Proportional to 23,914.82, 35,843.27 and 8,909.79

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Solution

The fourth proportional to 23,914.82, 35,843.27 and 8,909.79 is: 13,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914.82 : 35,843.27 = 8,909.79 : x
  2. Step 2: Convert to fraction form
    23,914.82/35,843.27 = 8,909.79/x
  3. Step 3: Cross multiply
    23,914.82x = 35,843.27 × 8,909.79
  4. Step 4: Simplify right side
    23,914.82x = 319,355,964.06
  5. Step 5: Solve for x
    x = 319,355,964.06/23,914.82
  6. Step 6: Final answer
    x = 13,353.90

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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.