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Finding the Fourth Proportional to 22,097.20, 33,134.40 and 6,512.80

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Solution

The fourth proportional to 22,097.20, 33,134.40 and 6,512.80 is: 9,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.20 : 33,134.40 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    22,097.20/33,134.40 = 6,512.80/x
  3. Step 3: Cross multiply
    22,097.20x = 33,134.40 × 6,512.80
  4. Step 4: Simplify right side
    22,097.20x = 215,797,720.32
  5. Step 5: Solve for x
    x = 215,797,720.32/22,097.20
  6. Step 6: Final answer
    x = 9,765.84

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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.