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Finding the Fourth Proportional to 23,020.80, 34,523.10 and 8,230.20

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Solution

The fourth proportional to 23,020.80, 34,523.10 and 8,230.20 is: 12,342.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,020.80 : 34,523.10 = 8,230.20 : x
  2. Step 2: Convert to fraction form
    23,020.80/34,523.10 = 8,230.20/x
  3. Step 3: Cross multiply
    23,020.80x = 34,523.10 × 8,230.20
  4. Step 4: Simplify right side
    23,020.80x = 284,132,017.62
  5. Step 5: Solve for x
    x = 284,132,017.62/23,020.80
  6. Step 6: Final answer
    x = 12,342.40

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