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Finding the Fourth Proportional to 20,163, 30,236.64 and 11,845.14

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Solution

The fourth proportional to 20,163, 30,236.64 and 11,845.14 is: 17,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 30,236.64 = 11,845.14 : x
  2. Step 2: Convert to fraction form
    20,163/30,236.64 = 11,845.14/x
  3. Step 3: Cross multiply
    20,163x = 30,236.64 × 11,845.14
  4. Step 4: Simplify right side
    20,163x = 358,157,233.93
  5. Step 5: Solve for x
    x = 358,157,233.93/20,163
  6. Step 6: Final answer
    x = 17,763.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.