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Finding the Fourth Proportional to 20,103.66, 30,170.07 and 11,355.66

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Solution

The fourth proportional to 20,103.66, 30,170.07 and 11,355.66 is: 17,041.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,103.66 : 30,170.07 = 11,355.66 : x
  2. Step 2: Convert to fraction form
    20,103.66/30,170.07 = 11,355.66/x
  3. Step 3: Cross multiply
    20,103.66x = 30,170.07 × 11,355.66
  4. Step 4: Simplify right side
    20,103.66x = 342,601,057.10
  5. Step 5: Solve for x
    x = 342,601,057.10/20,103.66
  6. Step 6: Final answer
    x = 17,041.73

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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.