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Finding the Fourth Proportional to 20,167.31, 30,241.71 and 11,851.24

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Solution

The fourth proportional to 20,167.31, 30,241.71 and 11,851.24 is: 17,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.31 : 30,241.71 = 11,851.24 : x
  2. Step 2: Convert to fraction form
    20,167.31/30,241.71 = 11,851.24/x
  3. Step 3: Cross multiply
    20,167.31x = 30,241.71 × 11,851.24
  4. Step 4: Simplify right side
    20,167.31x = 358,401,612.01
  5. Step 5: Solve for x
    x = 358,401,612.01/20,167.31
  6. Step 6: Final answer
    x = 17,771.41

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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.