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Finding the Fourth Proportional to 18,098.10, 27,137.79 and 6,409.62

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Solution

The fourth proportional to 18,098.10, 27,137.79 and 6,409.62 is: 9,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.10 : 27,137.79 = 6,409.62 : x
  2. Step 2: Convert to fraction form
    18,098.10/27,137.79 = 6,409.62/x
  3. Step 3: Cross multiply
    18,098.10x = 27,137.79 × 6,409.62
  4. Step 4: Simplify right side
    18,098.10x = 173,942,921.54
  5. Step 5: Solve for x
    x = 173,942,921.54/18,098.10
  6. Step 6: Final answer
    x = 9,611.12

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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.