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Finding the Fourth Proportional to 12,007.57, 16,550.62 and 8,027.23

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Solution

The fourth proportional to 12,007.57, 16,550.62 and 8,027.23 is: 11,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.57 : 16,550.62 = 8,027.23 : x
  2. Step 2: Convert to fraction form
    12,007.57/16,550.62 = 8,027.23/x
  3. Step 3: Cross multiply
    12,007.57x = 16,550.62 × 8,027.23
  4. Step 4: Simplify right side
    12,007.57x = 132,855,633.38
  5. Step 5: Solve for x
    x = 132,855,633.38/12,007.57
  6. Step 6: Final answer
    x = 11,064.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.