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Finding the Fourth Proportional to 20,115.98, 30,164.24 and 11,798.70

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Solution

The fourth proportional to 20,115.98, 30,164.24 and 11,798.70 is: 17,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.98 : 30,164.24 = 11,798.70 : x
  2. Step 2: Convert to fraction form
    20,115.98/30,164.24 = 11,798.70/x
  3. Step 3: Cross multiply
    20,115.98x = 30,164.24 × 11,798.70
  4. Step 4: Simplify right side
    20,115.98x = 355,898,759.49
  5. Step 5: Solve for x
    x = 355,898,759.49/20,115.98
  6. Step 6: Final answer
    x = 17,692.34

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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.