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Finding the Fourth Proportional to 23,156.72, 34,736.76 and 8,162

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Solution

The fourth proportional to 23,156.72, 34,736.76 and 8,162 is: 12,243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.72 : 34,736.76 = 8,162 : x
  2. Step 2: Convert to fraction form
    23,156.72/34,736.76 = 8,162/x
  3. Step 3: Cross multiply
    23,156.72x = 34,736.76 × 8,162
  4. Step 4: Simplify right side
    23,156.72x = 283,521,435.12
  5. Step 5: Solve for x
    x = 283,521,435.12/23,156.72
  6. Step 6: Final answer
    x = 12,243.59

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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.