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Finding the Fourth Proportional to 20,214.80, 30,327.24 and 11,901.68

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Solution

The fourth proportional to 20,214.80, 30,327.24 and 11,901.68 is: 17,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214.80 : 30,327.24 = 11,901.68 : x
  2. Step 2: Convert to fraction form
    20,214.80/30,327.24 = 11,901.68/x
  3. Step 3: Cross multiply
    20,214.80x = 30,327.24 × 11,901.68
  4. Step 4: Simplify right side
    20,214.80x = 360,945,105.76
  5. Step 5: Solve for x
    x = 360,945,105.76/20,214.80
  6. Step 6: Final answer
    x = 17,855.49

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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.