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Finding the Fourth Proportional to 18,134, 27,204.90 and 5,653.76

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Solution

The fourth proportional to 18,134, 27,204.90 and 5,653.76 is: 8,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,134 : 27,204.90 = 5,653.76 : x
  2. Step 2: Convert to fraction form
    18,134/27,204.90 = 5,653.76/x
  3. Step 3: Cross multiply
    18,134x = 27,204.90 × 5,653.76
  4. Step 4: Simplify right side
    18,134x = 153,809,975.42
  5. Step 5: Solve for x
    x = 153,809,975.42/18,134
  6. Step 6: Final answer
    x = 8,481.86

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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.