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Finding the Fourth Proportional to 20,097.96, 30,141.18 and 6,769.50

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Solution

The fourth proportional to 20,097.96, 30,141.18 and 6,769.50 is: 10,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.96 : 30,141.18 = 6,769.50 : x
  2. Step 2: Convert to fraction form
    20,097.96/30,141.18 = 6,769.50/x
  3. Step 3: Cross multiply
    20,097.96x = 30,141.18 × 6,769.50
  4. Step 4: Simplify right side
    20,097.96x = 204,040,718.01
  5. Step 5: Solve for x
    x = 204,040,718.01/20,097.96
  6. Step 6: Final answer
    x = 10,152.31

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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.