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Finding the Fourth Proportional to 12,442.62, 17,165.37 and 8,188.21

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Solution

The fourth proportional to 12,442.62, 17,165.37 and 8,188.21 is: 11,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.62 : 17,165.37 = 8,188.21 : x
  2. Step 2: Convert to fraction form
    12,442.62/17,165.37 = 8,188.21/x
  3. Step 3: Cross multiply
    12,442.62x = 17,165.37 × 8,188.21
  4. Step 4: Simplify right side
    12,442.62x = 140,553,654.29
  5. Step 5: Solve for x
    x = 140,553,654.29/12,442.62
  6. Step 6: Final answer
    x = 11,296.15

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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.