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Finding the Fourth Proportional to 20,161.89, 30,266.19 and 10,820.19

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Solution

The fourth proportional to 20,161.89, 30,266.19 and 10,820.19 is: 16,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.89 : 30,266.19 = 10,820.19 : x
  2. Step 2: Convert to fraction form
    20,161.89/30,266.19 = 10,820.19/x
  3. Step 3: Cross multiply
    20,161.89x = 30,266.19 × 10,820.19
  4. Step 4: Simplify right side
    20,161.89x = 327,485,926.38
  5. Step 5: Solve for x
    x = 327,485,926.38/20,161.89
  6. Step 6: Final answer
    x = 16,242.82

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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.