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Finding the Fourth Proportional to 20,164.65, 27,826.41 and 11,211.50

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Solution

The fourth proportional to 20,164.65, 27,826.41 and 11,211.50 is: 15,471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.65 : 27,826.41 = 11,211.50 : x
  2. Step 2: Convert to fraction form
    20,164.65/27,826.41 = 11,211.50/x
  3. Step 3: Cross multiply
    20,164.65x = 27,826.41 × 11,211.50
  4. Step 4: Simplify right side
    20,164.65x = 311,975,907.32
  5. Step 5: Solve for x
    x = 311,975,907.32/20,164.65
  6. Step 6: Final answer
    x = 15,471.43

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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.