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Finding the Fourth Proportional to 20,003.35, 30,023.86 and 10,149.70

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Solution

The fourth proportional to 20,003.35, 30,023.86 and 10,149.70 is: 15,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,003.35 : 30,023.86 = 10,149.70 : x
  2. Step 2: Convert to fraction form
    20,003.35/30,023.86 = 10,149.70/x
  3. Step 3: Cross multiply
    20,003.35x = 30,023.86 × 10,149.70
  4. Step 4: Simplify right side
    20,003.35x = 304,733,196.68
  5. Step 5: Solve for x
    x = 304,733,196.68/20,003.35
  6. Step 6: Final answer
    x = 15,234.11

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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.