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Finding the Fourth Proportional to 20,542.32, 30,794.31 and 11,168.46

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Solution

The fourth proportional to 20,542.32, 30,794.31 and 11,168.46 is: 16,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.32 : 30,794.31 = 11,168.46 : x
  2. Step 2: Convert to fraction form
    20,542.32/30,794.31 = 11,168.46/x
  3. Step 3: Cross multiply
    20,542.32x = 30,794.31 × 11,168.46
  4. Step 4: Simplify right side
    20,542.32x = 343,925,019.46
  5. Step 5: Solve for x
    x = 343,925,019.46/20,542.32
  6. Step 6: Final answer
    x = 16,742.27

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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.