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Finding the Fourth Proportional to 20,552.96, 30,832 and 7,401.92

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Solution

The fourth proportional to 20,552.96, 30,832 and 7,401.92 is: 11,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.96 : 30,832 = 7,401.92 : x
  2. Step 2: Convert to fraction form
    20,552.96/30,832 = 7,401.92/x
  3. Step 3: Cross multiply
    20,552.96x = 30,832 × 7,401.92
  4. Step 4: Simplify right side
    20,552.96x = 228,215,997.44
  5. Step 5: Solve for x
    x = 228,215,997.44/20,552.96
  6. Step 6: Final answer
    x = 11,103.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.