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Finding the Fourth Proportional to 14,578.62, 20,116.68 and 8,204.42

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Solution

The fourth proportional to 14,578.62, 20,116.68 and 8,204.42 is: 11,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.62 : 20,116.68 = 8,204.42 : x
  2. Step 2: Convert to fraction form
    14,578.62/20,116.68 = 8,204.42/x
  3. Step 3: Cross multiply
    14,578.62x = 20,116.68 × 8,204.42
  4. Step 4: Simplify right side
    14,578.62x = 165,045,691.73
  5. Step 5: Solve for x
    x = 165,045,691.73/14,578.62
  6. Step 6: Final answer
    x = 11,321.08

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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.