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Finding the Fourth Proportional to 12,255.70, 18,391.11 and 5,680.66

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Solution

The fourth proportional to 12,255.70, 18,391.11 and 5,680.66 is: 8,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.70 : 18,391.11 = 5,680.66 : x
  2. Step 2: Convert to fraction form
    12,255.70/18,391.11 = 5,680.66/x
  3. Step 3: Cross multiply
    12,255.70x = 18,391.11 × 5,680.66
  4. Step 4: Simplify right side
    12,255.70x = 104,473,642.93
  5. Step 5: Solve for x
    x = 104,473,642.93/12,255.70
  6. Step 6: Final answer
    x = 8,524.49

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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.