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Finding the Fourth Proportional to 23,682, 32,677.44 and 13,608.50

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Solution

The fourth proportional to 23,682, 32,677.44 and 13,608.50 is: 18,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 32,677.44 = 13,608.50 : x
  2. Step 2: Convert to fraction form
    23,682/32,677.44 = 13,608.50/x
  3. Step 3: Cross multiply
    23,682x = 32,677.44 × 13,608.50
  4. Step 4: Simplify right side
    23,682x = 444,690,942.24
  5. Step 5: Solve for x
    x = 444,690,942.24/23,682
  6. Step 6: Final answer
    x = 18,777.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.