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Finding the Fourth Proportional to 20,105.41, 30,158.20 and 8,410.43

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Solution

The fourth proportional to 20,105.41, 30,158.20 and 8,410.43 is: 12,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.41 : 30,158.20 = 8,410.43 : x
  2. Step 2: Convert to fraction form
    20,105.41/30,158.20 = 8,410.43/x
  3. Step 3: Cross multiply
    20,105.41x = 30,158.20 × 8,410.43
  4. Step 4: Simplify right side
    20,105.41x = 253,643,430.03
  5. Step 5: Solve for x
    x = 253,643,430.03/20,105.41
  6. Step 6: Final answer
    x = 12,615.68

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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.