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Finding the Fourth Proportional to 20,221.44, 27,904.32 and 11,724

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Solution

The fourth proportional to 20,221.44, 27,904.32 and 11,724 is: 16,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.44 : 27,904.32 = 11,724 : x
  2. Step 2: Convert to fraction form
    20,221.44/27,904.32 = 11,724/x
  3. Step 3: Cross multiply
    20,221.44x = 27,904.32 × 11,724
  4. Step 4: Simplify right side
    20,221.44x = 327,150,247.68
  5. Step 5: Solve for x
    x = 327,150,247.68/20,221.44
  6. Step 6: Final answer
    x = 16,178.39

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Why These Related Problems?

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