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Finding the Fourth Proportional to 20,101.20, 27,736.08 and 12,138.09

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Solution

The fourth proportional to 20,101.20, 27,736.08 and 12,138.09 is: 16,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.20 : 27,736.08 = 12,138.09 : x
  2. Step 2: Convert to fraction form
    20,101.20/27,736.08 = 12,138.09/x
  3. Step 3: Cross multiply
    20,101.20x = 27,736.08 × 12,138.09
  4. Step 4: Simplify right side
    20,101.20x = 336,663,035.29
  5. Step 5: Solve for x
    x = 336,663,035.29/20,101.20
  6. Step 6: Final answer
    x = 16,748.40

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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.