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Finding the Fourth Proportional to 18,472.52, 27,719.84 and 6,786.92

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Solution

The fourth proportional to 18,472.52, 27,719.84 and 6,786.92 is: 10,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.52 : 27,719.84 = 6,786.92 : x
  2. Step 2: Convert to fraction form
    18,472.52/27,719.84 = 6,786.92/x
  3. Step 3: Cross multiply
    18,472.52x = 27,719.84 × 6,786.92
  4. Step 4: Simplify right side
    18,472.52x = 188,132,336.49
  5. Step 5: Solve for x
    x = 188,132,336.49/18,472.52
  6. Step 6: Final answer
    x = 10,184.44

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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.