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Finding the Fourth Proportional to 20,097.36, 30,149.52 and 6,769.08

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Solution

The fourth proportional to 20,097.36, 30,149.52 and 6,769.08 is: 10,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.36 : 30,149.52 = 6,769.08 : x
  2. Step 2: Convert to fraction form
    20,097.36/30,149.52 = 6,769.08/x
  3. Step 3: Cross multiply
    20,097.36x = 30,149.52 × 6,769.08
  4. Step 4: Simplify right side
    20,097.36x = 204,084,512.84
  5. Step 5: Solve for x
    x = 204,084,512.84/20,097.36
  6. Step 6: Final answer
    x = 10,154.79

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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.