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Finding the Fourth Proportional to 23,456.92, 32,370.83 and 12,847

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Solution

The fourth proportional to 23,456.92, 32,370.83 and 12,847 is: 17,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.92 : 32,370.83 = 12,847 : x
  2. Step 2: Convert to fraction form
    23,456.92/32,370.83 = 12,847/x
  3. Step 3: Cross multiply
    23,456.92x = 32,370.83 × 12,847
  4. Step 4: Simplify right side
    23,456.92x = 415,867,988.78
  5. Step 5: Solve for x
    x = 415,867,988.78/23,456.92
  6. Step 6: Final answer
    x = 17,729.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.