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Finding the Fourth Proportional to 18,491.78, 27,737.67 and 6,179.78

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Solution

The fourth proportional to 18,491.78, 27,737.67 and 6,179.78 is: 9,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,491.78 : 27,737.67 = 6,179.78 : x
  2. Step 2: Convert to fraction form
    18,491.78/27,737.67 = 6,179.78/x
  3. Step 3: Cross multiply
    18,491.78x = 27,737.67 × 6,179.78
  4. Step 4: Simplify right side
    18,491.78x = 171,412,698.31
  5. Step 5: Solve for x
    x = 171,412,698.31/18,491.78
  6. Step 6: Final answer
    x = 9,269.67

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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.