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Finding the Fourth Proportional to 20,274.92, 30,404.64 and 9,742

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Solution

The fourth proportional to 20,274.92, 30,404.64 and 9,742 is: 14,609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.92 : 30,404.64 = 9,742 : x
  2. Step 2: Convert to fraction form
    20,274.92/30,404.64 = 9,742/x
  3. Step 3: Cross multiply
    20,274.92x = 30,404.64 × 9,742
  4. Step 4: Simplify right side
    20,274.92x = 296,202,002.88
  5. Step 5: Solve for x
    x = 296,202,002.88/20,274.92
  6. Step 6: Final answer
    x = 14,609.28

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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.