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Finding the Fourth Proportional to 18,200.20, 27,308.94 and 6,514.60

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Solution

The fourth proportional to 18,200.20, 27,308.94 and 6,514.60 is: 9,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.20 : 27,308.94 = 6,514.60 : x
  2. Step 2: Convert to fraction form
    18,200.20/27,308.94 = 6,514.60/x
  3. Step 3: Cross multiply
    18,200.20x = 27,308.94 × 6,514.60
  4. Step 4: Simplify right side
    18,200.20x = 177,906,820.52
  5. Step 5: Solve for x
    x = 177,906,820.52/18,200.20
  6. Step 6: Final answer
    x = 9,774.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.