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Finding the Fourth Proportional to 20,096.10, 30,127.14 and 7,609.24

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Solution

The fourth proportional to 20,096.10, 30,127.14 and 7,609.24 is: 11,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.10 : 30,127.14 = 7,609.24 : x
  2. Step 2: Convert to fraction form
    20,096.10/30,127.14 = 7,609.24/x
  3. Step 3: Cross multiply
    20,096.10x = 30,127.14 × 7,609.24
  4. Step 4: Simplify right side
    20,096.10x = 229,244,676.43
  5. Step 5: Solve for x
    x = 229,244,676.43/20,096.10
  6. Step 6: Final answer
    x = 11,407.42

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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.