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Finding the Fourth Proportional to 14,543.26, 20,067.68 and 8,254.42

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Solution

The fourth proportional to 14,543.26, 20,067.68 and 8,254.42 is: 11,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.26 : 20,067.68 = 8,254.42 : x
  2. Step 2: Convert to fraction form
    14,543.26/20,067.68 = 8,254.42/x
  3. Step 3: Cross multiply
    14,543.26x = 20,067.68 × 8,254.42
  4. Step 4: Simplify right side
    14,543.26x = 165,647,059.15
  5. Step 5: Solve for x
    x = 165,647,059.15/14,543.26
  6. Step 6: Final answer
    x = 11,389.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.