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Finding the Fourth Proportional to 18,470.52, 27,716.84 and 6,784.92

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Solution

The fourth proportional to 18,470.52, 27,716.84 and 6,784.92 is: 10,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,470.52 : 27,716.84 = 6,784.92 : x
  2. Step 2: Convert to fraction form
    18,470.52/27,716.84 = 6,784.92/x
  3. Step 3: Cross multiply
    18,470.52x = 27,716.84 × 6,784.92
  4. Step 4: Simplify right side
    18,470.52x = 188,056,542.05
  5. Step 5: Solve for x
    x = 188,056,542.05/18,470.52
  6. Step 6: Final answer
    x = 10,181.44

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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.