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Finding the Fourth Proportional to 18,276.30, 27,400.68 and 7,181.46

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Solution

The fourth proportional to 18,276.30, 27,400.68 and 7,181.46 is: 10,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,276.30 : 27,400.68 = 7,181.46 : x
  2. Step 2: Convert to fraction form
    18,276.30/27,400.68 = 7,181.46/x
  3. Step 3: Cross multiply
    18,276.30x = 27,400.68 × 7,181.46
  4. Step 4: Simplify right side
    18,276.30x = 196,776,887.39
  5. Step 5: Solve for x
    x = 196,776,887.39/18,276.30
  6. Step 6: Final answer
    x = 10,766.78

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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.