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Finding the Fourth Proportional to 20,067.36, 30,129.36 and 12,647.76

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Solution

The fourth proportional to 20,067.36, 30,129.36 and 12,647.76 is: 18,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,067.36 : 30,129.36 = 12,647.76 : x
  2. Step 2: Convert to fraction form
    20,067.36/30,129.36 = 12,647.76/x
  3. Step 3: Cross multiply
    20,067.36x = 30,129.36 × 12,647.76
  4. Step 4: Simplify right side
    20,067.36x = 381,068,914.23
  5. Step 5: Solve for x
    x = 381,068,914.23/20,067.36
  6. Step 6: Final answer
    x = 18,989.49

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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.