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Finding the Fourth Proportional to 13,454.42, 18,566.19 and 8,418.38

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Solution

The fourth proportional to 13,454.42, 18,566.19 and 8,418.38 is: 11,616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.42 : 18,566.19 = 8,418.38 : x
  2. Step 2: Convert to fraction form
    13,454.42/18,566.19 = 8,418.38/x
  3. Step 3: Cross multiply
    13,454.42x = 18,566.19 × 8,418.38
  4. Step 4: Simplify right side
    13,454.42x = 156,297,149.74
  5. Step 5: Solve for x
    x = 156,297,149.74/13,454.42
  6. Step 6: Final answer
    x = 11,616.79

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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.