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Finding the Fourth Proportional to 12,397.63, 18,596.44 and 3,163.63

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Solution

The fourth proportional to 12,397.63, 18,596.44 and 3,163.63 is: 4,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.63 : 18,596.44 = 3,163.63 : x
  2. Step 2: Convert to fraction form
    12,397.63/18,596.44 = 3,163.63/x
  3. Step 3: Cross multiply
    12,397.63x = 18,596.44 × 3,163.63
  4. Step 4: Simplify right side
    12,397.63x = 58,832,162.50
  5. Step 5: Solve for x
    x = 58,832,162.50/12,397.63
  6. Step 6: Final answer
    x = 4,745.44

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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.