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Finding the Fourth Proportional to 23,000.92, 34,471.94 and 11,905.54

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Solution

The fourth proportional to 23,000.92, 34,471.94 and 11,905.54 is: 17,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.92 : 34,471.94 = 11,905.54 : x
  2. Step 2: Convert to fraction form
    23,000.92/34,471.94 = 11,905.54/x
  3. Step 3: Cross multiply
    23,000.92x = 34,471.94 × 11,905.54
  4. Step 4: Simplify right side
    23,000.92x = 410,407,060.55
  5. Step 5: Solve for x
    x = 410,407,060.55/23,000.92
  6. Step 6: Final answer
    x = 17,843.07

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Why These Related Problems?

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