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Finding the Fourth Proportional to 18,472.80, 27,712.96 and 6,786.08

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Solution

The fourth proportional to 18,472.80, 27,712.96 and 6,786.08 is: 10,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.80 : 27,712.96 = 6,786.08 : x
  2. Step 2: Convert to fraction form
    18,472.80/27,712.96 = 6,786.08/x
  3. Step 3: Cross multiply
    18,472.80x = 27,712.96 × 6,786.08
  4. Step 4: Simplify right side
    18,472.80x = 188,062,363.60
  5. Step 5: Solve for x
    x = 188,062,363.60/18,472.80
  6. Step 6: Final answer
    x = 10,180.50

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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.