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Finding the Fourth Proportional to 18,432.16, 27,654.72 and 8,042.56

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Solution

The fourth proportional to 18,432.16, 27,654.72 and 8,042.56 is: 12,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,432.16 : 27,654.72 = 8,042.56 : x
  2. Step 2: Convert to fraction form
    18,432.16/27,654.72 = 8,042.56/x
  3. Step 3: Cross multiply
    18,432.16x = 27,654.72 × 8,042.56
  4. Step 4: Simplify right side
    18,432.16x = 222,414,744.88
  5. Step 5: Solve for x
    x = 222,414,744.88/18,432.16
  6. Step 6: Final answer
    x = 12,066.67

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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.