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Finding the Fourth Proportional to 18,198.81, 27,292.41 and 7,102.80

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Solution

The fourth proportional to 18,198.81, 27,292.41 and 7,102.80 is: 10,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.81 : 27,292.41 = 7,102.80 : x
  2. Step 2: Convert to fraction form
    18,198.81/27,292.41 = 7,102.80/x
  3. Step 3: Cross multiply
    18,198.81x = 27,292.41 × 7,102.80
  4. Step 4: Simplify right side
    18,198.81x = 193,852,529.75
  5. Step 5: Solve for x
    x = 193,852,529.75/18,198.81
  6. Step 6: Final answer
    x = 10,651.93

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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.