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Finding the Fourth Proportional to 20,189.88, 27,838.20 and 13,819.54

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Solution

The fourth proportional to 20,189.88, 27,838.20 and 13,819.54 is: 19,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.88 : 27,838.20 = 13,819.54 : x
  2. Step 2: Convert to fraction form
    20,189.88/27,838.20 = 13,819.54/x
  3. Step 3: Cross multiply
    20,189.88x = 27,838.20 × 13,819.54
  4. Step 4: Simplify right side
    20,189.88x = 384,711,118.43
  5. Step 5: Solve for x
    x = 384,711,118.43/20,189.88
  6. Step 6: Final answer
    x = 19,054.65

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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.