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Finding the Fourth Proportional to 20,097.35, 27,735.17 and 12,138.02

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Solution

The fourth proportional to 20,097.35, 27,735.17 and 12,138.02 is: 16,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.35 : 27,735.17 = 12,138.02 : x
  2. Step 2: Convert to fraction form
    20,097.35/27,735.17 = 12,138.02/x
  3. Step 3: Cross multiply
    20,097.35x = 27,735.17 × 12,138.02
  4. Step 4: Simplify right side
    20,097.35x = 336,649,848.80
  5. Step 5: Solve for x
    x = 336,649,848.80/20,097.35
  6. Step 6: Final answer
    x = 16,750.96

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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.