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Finding the Fourth Proportional to 12,165.50, 18,249.42 and 5,593.52

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Solution

The fourth proportional to 12,165.50, 18,249.42 and 5,593.52 is: 8,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.50 : 18,249.42 = 5,593.52 : x
  2. Step 2: Convert to fraction form
    12,165.50/18,249.42 = 5,593.52/x
  3. Step 3: Cross multiply
    12,165.50x = 18,249.42 × 5,593.52
  4. Step 4: Simplify right side
    12,165.50x = 102,078,495.76
  5. Step 5: Solve for x
    x = 102,078,495.76/12,165.50
  6. Step 6: Final answer
    x = 8,390.82

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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.