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Finding the Fourth Proportional to 23,236.74, 34,843.23 and 8,442.18

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Solution

The fourth proportional to 23,236.74, 34,843.23 and 8,442.18 is: 12,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236.74 : 34,843.23 = 8,442.18 : x
  2. Step 2: Convert to fraction form
    23,236.74/34,843.23 = 8,442.18/x
  3. Step 3: Cross multiply
    23,236.74x = 34,843.23 × 8,442.18
  4. Step 4: Simplify right side
    23,236.74x = 294,152,819.44
  5. Step 5: Solve for x
    x = 294,152,819.44/23,236.74
  6. Step 6: Final answer
    x = 12,658.95

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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.