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Finding the Fourth Proportional to 12,433.20, 18,656.32 and 8,049.52

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Solution

The fourth proportional to 12,433.20, 18,656.32 and 8,049.52 is: 12,078.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.20 : 18,656.32 = 8,049.52 : x
  2. Step 2: Convert to fraction form
    12,433.20/18,656.32 = 8,049.52/x
  3. Step 3: Cross multiply
    12,433.20x = 18,656.32 × 8,049.52
  4. Step 4: Simplify right side
    12,433.20x = 150,174,420.97
  5. Step 5: Solve for x
    x = 150,174,420.97/12,433.20
  6. Step 6: Final answer
    x = 12,078.50

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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.