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Finding the Fourth Proportional to 16,823.78, 23,217.37 and 9,270.42

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Solution

The fourth proportional to 16,823.78, 23,217.37 and 9,270.42 is: 12,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.78 : 23,217.37 = 9,270.42 : x
  2. Step 2: Convert to fraction form
    16,823.78/23,217.37 = 9,270.42/x
  3. Step 3: Cross multiply
    16,823.78x = 23,217.37 × 9,270.42
  4. Step 4: Simplify right side
    16,823.78x = 215,234,771.20
  5. Step 5: Solve for x
    x = 215,234,771.20/16,823.78
  6. Step 6: Final answer
    x = 12,793.48

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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.