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Finding the Fourth Proportional to 20,163.81, 27,824.74 and 11,210.98

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Solution

The fourth proportional to 20,163.81, 27,824.74 and 11,210.98 is: 15,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163.81 : 27,824.74 = 11,210.98 : x
  2. Step 2: Convert to fraction form
    20,163.81/27,824.74 = 11,210.98/x
  3. Step 3: Cross multiply
    20,163.81x = 27,824.74 × 11,210.98
  4. Step 4: Simplify right side
    20,163.81x = 311,942,603.65
  5. Step 5: Solve for x
    x = 311,942,603.65/20,163.81
  6. Step 6: Final answer
    x = 15,470.42

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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.