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Finding the Fourth Proportional to 18,452.52, 27,678.76 and 6,766.68

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Solution

The fourth proportional to 18,452.52, 27,678.76 and 6,766.68 is: 10,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,452.52 : 27,678.76 = 6,766.68 : x
  2. Step 2: Convert to fraction form
    18,452.52/27,678.76 = 6,766.68/x
  3. Step 3: Cross multiply
    18,452.52x = 27,678.76 × 6,766.68
  4. Step 4: Simplify right side
    18,452.52x = 187,293,311.72
  5. Step 5: Solve for x
    x = 187,293,311.72/18,452.52
  6. Step 6: Final answer
    x = 10,150.01

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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.