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Finding the Fourth Proportional to 23,021.20, 34,531.80 and 8,230.60

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Solution

The fourth proportional to 23,021.20, 34,531.80 and 8,230.60 is: 12,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021.20 : 34,531.80 = 8,230.60 : x
  2. Step 2: Convert to fraction form
    23,021.20/34,531.80 = 8,230.60/x
  3. Step 3: Cross multiply
    23,021.20x = 34,531.80 × 8,230.60
  4. Step 4: Simplify right side
    23,021.20x = 284,217,433.08
  5. Step 5: Solve for x
    x = 284,217,433.08/23,021.20
  6. Step 6: Final answer
    x = 12,345.90

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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.