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Finding the Fourth Proportional to 23,777.75, 32,813.33 and 12,876

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Solution

The fourth proportional to 23,777.75, 32,813.33 and 12,876 is: 17,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.75 : 32,813.33 = 12,876 : x
  2. Step 2: Convert to fraction form
    23,777.75/32,813.33 = 12,876/x
  3. Step 3: Cross multiply
    23,777.75x = 32,813.33 × 12,876
  4. Step 4: Simplify right side
    23,777.75x = 422,504,372.70
  5. Step 5: Solve for x
    x = 422,504,372.70/23,777.75
  6. Step 6: Final answer
    x = 17,768.90

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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.