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Finding the Fourth Proportional to 20,242.26, 27,934.36 and 11,167.42

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Solution

The fourth proportional to 20,242.26, 27,934.36 and 11,167.42 is: 15,411.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.26 : 27,934.36 = 11,167.42 : x
  2. Step 2: Convert to fraction form
    20,242.26/27,934.36 = 11,167.42/x
  3. Step 3: Cross multiply
    20,242.26x = 27,934.36 × 11,167.42
  4. Step 4: Simplify right side
    20,242.26x = 311,954,730.55
  5. Step 5: Solve for x
    x = 311,954,730.55/20,242.26
  6. Step 6: Final answer
    x = 15,411.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.