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Finding the Fourth Proportional to 18,131.68, 27,181.10 and 6,442.17

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Solution

The fourth proportional to 18,131.68, 27,181.10 and 6,442.17 is: 9,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131.68 : 27,181.10 = 6,442.17 : x
  2. Step 2: Convert to fraction form
    18,131.68/27,181.10 = 6,442.17/x
  3. Step 3: Cross multiply
    18,131.68x = 27,181.10 × 6,442.17
  4. Step 4: Simplify right side
    18,131.68x = 175,105,181.16
  5. Step 5: Solve for x
    x = 175,105,181.16/18,131.68
  6. Step 6: Final answer
    x = 9,657.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.