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Finding the Fourth Proportional to 20,161.37, 27,824.37 and 11,209.70

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Solution

The fourth proportional to 20,161.37, 27,824.37 and 11,209.70 is: 15,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,161.37 : 27,824.37 = 11,209.70 : x
  2. Step 2: Convert to fraction form
    20,161.37/27,824.37 = 11,209.70/x
  3. Step 3: Cross multiply
    20,161.37x = 27,824.37 × 11,209.70
  4. Step 4: Simplify right side
    20,161.37x = 311,902,784.34
  5. Step 5: Solve for x
    x = 311,902,784.34/20,161.37
  6. Step 6: Final answer
    x = 15,470.32

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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.