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Finding the Fourth Proportional to 12,183.39, 16,813.08 and 6,594.39

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Solution

The fourth proportional to 12,183.39, 16,813.08 and 6,594.39 is: 9,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.39 : 16,813.08 = 6,594.39 : x
  2. Step 2: Convert to fraction form
    12,183.39/16,813.08 = 6,594.39/x
  3. Step 3: Cross multiply
    12,183.39x = 16,813.08 × 6,594.39
  4. Step 4: Simplify right side
    12,183.39x = 110,872,006.62
  5. Step 5: Solve for x
    x = 110,872,006.62/12,183.39
  6. Step 6: Final answer
    x = 9,100.26

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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.