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Finding the Fourth Proportional to 18,288.96, 27,433.44 and 12,120

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Solution

The fourth proportional to 18,288.96, 27,433.44 and 12,120 is: 18,180

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288.96 : 27,433.44 = 12,120 : x
  2. Step 2: Convert to fraction form
    18,288.96/27,433.44 = 12,120/x
  3. Step 3: Cross multiply
    18,288.96x = 27,433.44 × 12,120
  4. Step 4: Simplify right side
    18,288.96x = 332,493,292.80
  5. Step 5: Solve for x
    x = 332,493,292.80/18,288.96
  6. Step 6: Final answer
    x = 18,180

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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.