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Finding the Fourth Proportional to 18,212.34, 27,319.61 and 5,732.78

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Solution

The fourth proportional to 18,212.34, 27,319.61 and 5,732.78 is: 8,599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,212.34 : 27,319.61 = 5,732.78 : x
  2. Step 2: Convert to fraction form
    18,212.34/27,319.61 = 5,732.78/x
  3. Step 3: Cross multiply
    18,212.34x = 27,319.61 × 5,732.78
  4. Step 4: Simplify right side
    18,212.34x = 156,617,191.55
  5. Step 5: Solve for x
    x = 156,617,191.55/18,212.34
  6. Step 6: Final answer
    x = 8,599.51

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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.