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Finding the Fourth Proportional to 16,976.20, 25,464.80 and 8,092.46

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Solution

The fourth proportional to 16,976.20, 25,464.80 and 8,092.46 is: 12,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.20 : 25,464.80 = 8,092.46 : x
  2. Step 2: Convert to fraction form
    16,976.20/25,464.80 = 8,092.46/x
  3. Step 3: Cross multiply
    16,976.20x = 25,464.80 × 8,092.46
  4. Step 4: Simplify right side
    16,976.20x = 206,072,875.41
  5. Step 5: Solve for x
    x = 206,072,875.41/16,976.20
  6. Step 6: Final answer
    x = 12,138.93

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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.