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Finding the Fourth Proportional to 11,579.50, 17,369.22 and 2,814.42

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Solution

The fourth proportional to 11,579.50, 17,369.22 and 2,814.42 is: 4,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,579.50 : 17,369.22 = 2,814.42 : x
  2. Step 2: Convert to fraction form
    11,579.50/17,369.22 = 2,814.42/x
  3. Step 3: Cross multiply
    11,579.50x = 17,369.22 × 2,814.42
  4. Step 4: Simplify right side
    11,579.50x = 48,884,280.15
  5. Step 5: Solve for x
    x = 48,884,280.15/11,579.50
  6. Step 6: Final answer
    x = 4,221.62

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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.