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Finding the Fourth Proportional to 18,882.26, 28,321.54 and 5,734.74

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Solution

The fourth proportional to 18,882.26, 28,321.54 and 5,734.74 is: 8,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.26 : 28,321.54 = 5,734.74 : x
  2. Step 2: Convert to fraction form
    18,882.26/28,321.54 = 5,734.74/x
  3. Step 3: Cross multiply
    18,882.26x = 28,321.54 × 5,734.74
  4. Step 4: Simplify right side
    18,882.26x = 162,416,668.30
  5. Step 5: Solve for x
    x = 162,416,668.30/18,882.26
  6. Step 6: Final answer
    x = 8,601.55

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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.