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Finding the Fourth Proportional to 20,189.84, 27,855.63 and 14,224.80

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Solution

The fourth proportional to 20,189.84, 27,855.63 and 14,224.80 is: 19,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.84 : 27,855.63 = 14,224.80 : x
  2. Step 2: Convert to fraction form
    20,189.84/27,855.63 = 14,224.80/x
  3. Step 3: Cross multiply
    20,189.84x = 27,855.63 × 14,224.80
  4. Step 4: Simplify right side
    20,189.84x = 396,240,765.62
  5. Step 5: Solve for x
    x = 396,240,765.62/20,189.84
  6. Step 6: Final answer
    x = 19,625.75

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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.