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Finding the Fourth Proportional to 12,224.69, 18,337.10 and 4,433.30

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Solution

The fourth proportional to 12,224.69, 18,337.10 and 4,433.30 is: 6,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224.69 : 18,337.10 = 4,433.30 : x
  2. Step 2: Convert to fraction form
    12,224.69/18,337.10 = 4,433.30/x
  3. Step 3: Cross multiply
    12,224.69x = 18,337.10 × 4,433.30
  4. Step 4: Simplify right side
    12,224.69x = 81,293,865.43
  5. Step 5: Solve for x
    x = 81,293,865.43/12,224.69
  6. Step 6: Final answer
    x = 6,649.97

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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.