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Finding the Fourth Proportional to 12,635.69, 17,442.85 and 8,161.62

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Solution

The fourth proportional to 12,635.69, 17,442.85 and 8,161.62 is: 11,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.69 : 17,442.85 = 8,161.62 : x
  2. Step 2: Convert to fraction form
    12,635.69/17,442.85 = 8,161.62/x
  3. Step 3: Cross multiply
    12,635.69x = 17,442.85 × 8,161.62
  4. Step 4: Simplify right side
    12,635.69x = 142,361,913.42
  5. Step 5: Solve for x
    x = 142,361,913.42/12,635.69
  6. Step 6: Final answer
    x = 11,266.65

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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.