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Finding the Fourth Proportional to 20,135.91, 30,178.34 and 11,375.76

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Solution

The fourth proportional to 20,135.91, 30,178.34 and 11,375.76 is: 17,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.91 : 30,178.34 = 11,375.76 : x
  2. Step 2: Convert to fraction form
    20,135.91/30,178.34 = 11,375.76/x
  3. Step 3: Cross multiply
    20,135.91x = 30,178.34 × 11,375.76
  4. Step 4: Simplify right side
    20,135.91x = 343,301,553.04
  5. Step 5: Solve for x
    x = 343,301,553.04/20,135.91
  6. Step 6: Final answer
    x = 17,049.22

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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.