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Finding the Fourth Proportional to 20,097.69, 30,147.98 and 5,306.46

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Solution

The fourth proportional to 20,097.69, 30,147.98 and 5,306.46 is: 7,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.69 : 30,147.98 = 5,306.46 : x
  2. Step 2: Convert to fraction form
    20,097.69/30,147.98 = 5,306.46/x
  3. Step 3: Cross multiply
    20,097.69x = 30,147.98 × 5,306.46
  4. Step 4: Simplify right side
    20,097.69x = 159,979,023.42
  5. Step 5: Solve for x
    x = 159,979,023.42/20,097.69
  6. Step 6: Final answer
    x = 7,960.07

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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.