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Finding the Fourth Proportional to 18,238, 27,360.84 and 5,926.96

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Solution

The fourth proportional to 18,238, 27,360.84 and 5,926.96 is: 8,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238 : 27,360.84 = 5,926.96 : x
  2. Step 2: Convert to fraction form
    18,238/27,360.84 = 5,926.96/x
  3. Step 3: Cross multiply
    18,238x = 27,360.84 × 5,926.96
  4. Step 4: Simplify right side
    18,238x = 162,166,604.25
  5. Step 5: Solve for x
    x = 162,166,604.25/18,238
  6. Step 6: Final answer
    x = 8,891.69

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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.