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Finding the Fourth Proportional to 20,186.14, 27,852.50 and 12,228.70

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Solution

The fourth proportional to 20,186.14, 27,852.50 and 12,228.70 is: 16,872.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,186.14 : 27,852.50 = 12,228.70 : x
  2. Step 2: Convert to fraction form
    20,186.14/27,852.50 = 12,228.70/x
  3. Step 3: Cross multiply
    20,186.14x = 27,852.50 × 12,228.70
  4. Step 4: Simplify right side
    20,186.14x = 340,599,866.75
  5. Step 5: Solve for x
    x = 340,599,866.75/20,186.14
  6. Step 6: Final answer
    x = 16,872.96

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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.