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Finding the Fourth Proportional to 20,003.51, 30,024.09 and 10,149.86

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Solution

The fourth proportional to 20,003.51, 30,024.09 and 10,149.86 is: 15,234.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.51 : 30,024.09 = 10,149.86 : x
  2. Step 2: Convert to fraction form
    20,003.51/30,024.09 = 10,149.86/x
  3. Step 3: Cross multiply
    20,003.51x = 30,024.09 × 10,149.86
  4. Step 4: Simplify right side
    20,003.51x = 304,740,244.85
  5. Step 5: Solve for x
    x = 304,740,244.85/20,003.51
  6. Step 6: Final answer
    x = 15,234.34

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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.