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Finding the Fourth Proportional to 13,161.62, 18,164.66 and 8,323.45

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Solution

The fourth proportional to 13,161.62, 18,164.66 and 8,323.45 is: 11,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.62 : 18,164.66 = 8,323.45 : x
  2. Step 2: Convert to fraction form
    13,161.62/18,164.66 = 8,323.45/x
  3. Step 3: Cross multiply
    13,161.62x = 18,164.66 × 8,323.45
  4. Step 4: Simplify right side
    13,161.62x = 151,192,552.25
  5. Step 5: Solve for x
    x = 151,192,552.25/13,161.62
  6. Step 6: Final answer
    x = 11,487.38

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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.