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Finding the Fourth Proportional to 18,474.92, 27,712.38 and 6,783.08

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Solution

The fourth proportional to 18,474.92, 27,712.38 and 6,783.08 is: 10,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,474.92 : 27,712.38 = 6,783.08 : x
  2. Step 2: Convert to fraction form
    18,474.92/27,712.38 = 6,783.08/x
  3. Step 3: Cross multiply
    18,474.92x = 27,712.38 × 6,783.08
  4. Step 4: Simplify right side
    18,474.92x = 187,975,290.53
  5. Step 5: Solve for x
    x = 187,975,290.53/18,474.92
  6. Step 6: Final answer
    x = 10,174.62

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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.