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Finding the Fourth Proportional to 18,516.42, 27,774.59 and 6,204.42

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Solution

The fourth proportional to 18,516.42, 27,774.59 and 6,204.42 is: 9,306.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,516.42 : 27,774.59 = 6,204.42 : x
  2. Step 2: Convert to fraction form
    18,516.42/27,774.59 = 6,204.42/x
  3. Step 3: Cross multiply
    18,516.42x = 27,774.59 × 6,204.42
  4. Step 4: Simplify right side
    18,516.42x = 172,325,190.67
  5. Step 5: Solve for x
    x = 172,325,190.67/18,516.42
  6. Step 6: Final answer
    x = 9,306.61

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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.