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Finding the Fourth Proportional to 20,097.96, 30,142.84 and 7,613.68

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Solution

The fourth proportional to 20,097.96, 30,142.84 and 7,613.68 is: 11,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.96 : 30,142.84 = 7,613.68 : x
  2. Step 2: Convert to fraction form
    20,097.96/30,142.84 = 7,613.68/x
  3. Step 3: Cross multiply
    20,097.96x = 30,142.84 × 7,613.68
  4. Step 4: Simplify right side
    20,097.96x = 229,497,938.05
  5. Step 5: Solve for x
    x = 229,497,938.05/20,097.96
  6. Step 6: Final answer
    x = 11,418.97

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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.