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Finding the Fourth Proportional to 18,280.47, 27,424.11 and 5,797.14

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Solution

The fourth proportional to 18,280.47, 27,424.11 and 5,797.14 is: 8,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.47 : 27,424.11 = 5,797.14 : x
  2. Step 2: Convert to fraction form
    18,280.47/27,424.11 = 5,797.14/x
  3. Step 3: Cross multiply
    18,280.47x = 27,424.11 × 5,797.14
  4. Step 4: Simplify right side
    18,280.47x = 158,981,405.05
  5. Step 5: Solve for x
    x = 158,981,405.05/18,280.47
  6. Step 6: Final answer
    x = 8,696.79

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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.