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Finding the Fourth Proportional to 12,563.70, 18,844.63 and 5,067.77

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Solution

The fourth proportional to 12,563.70, 18,844.63 and 5,067.77 is: 7,601.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.70 : 18,844.63 = 5,067.77 : x
  2. Step 2: Convert to fraction form
    12,563.70/18,844.63 = 5,067.77/x
  3. Step 3: Cross multiply
    12,563.70x = 18,844.63 × 5,067.77
  4. Step 4: Simplify right side
    12,563.70x = 95,500,250.58
  5. Step 5: Solve for x
    x = 95,500,250.58/12,563.70
  6. Step 6: Final answer
    x = 7,601.28

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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.