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Finding the Fourth Proportional to 20,571.38, 28,388.50 and 11,620.78

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Solution

The fourth proportional to 20,571.38, 28,388.50 and 11,620.78 is: 16,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.38 : 28,388.50 = 11,620.78 : x
  2. Step 2: Convert to fraction form
    20,571.38/28,388.50 = 11,620.78/x
  3. Step 3: Cross multiply
    20,571.38x = 28,388.50 × 11,620.78
  4. Step 4: Simplify right side
    20,571.38x = 329,896,513.03
  5. Step 5: Solve for x
    x = 329,896,513.03/20,571.38
  6. Step 6: Final answer
    x = 16,036.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.