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Finding the Fourth Proportional to 12,183.81, 16,816.43 and 7,927.36

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Solution

The fourth proportional to 12,183.81, 16,816.43 and 7,927.36 is: 10,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.81 : 16,816.43 = 7,927.36 : x
  2. Step 2: Convert to fraction form
    12,183.81/16,816.43 = 7,927.36/x
  3. Step 3: Cross multiply
    12,183.81x = 16,816.43 × 7,927.36
  4. Step 4: Simplify right side
    12,183.81x = 133,309,914.34
  5. Step 5: Solve for x
    x = 133,309,914.34/12,183.81
  6. Step 6: Final answer
    x = 10,941.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.