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Finding the Fourth Proportional to 12,114.27, 18,166.79 and 5,535.84

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Solution

The fourth proportional to 12,114.27, 18,166.79 and 5,535.84 is: 8,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.27 : 18,166.79 = 5,535.84 : x
  2. Step 2: Convert to fraction form
    12,114.27/18,166.79 = 5,535.84/x
  3. Step 3: Cross multiply
    12,114.27x = 18,166.79 × 5,535.84
  4. Step 4: Simplify right side
    12,114.27x = 100,568,532.50
  5. Step 5: Solve for x
    x = 100,568,532.50/12,114.27
  6. Step 6: Final answer
    x = 8,301.66

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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.