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Finding the Fourth Proportional to 20,162.48, 27,817.80 and 12,202.16

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Solution

The fourth proportional to 20,162.48, 27,817.80 and 12,202.16 is: 16,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.48 : 27,817.80 = 12,202.16 : x
  2. Step 2: Convert to fraction form
    20,162.48/27,817.80 = 12,202.16/x
  3. Step 3: Cross multiply
    20,162.48x = 27,817.80 × 12,202.16
  4. Step 4: Simplify right side
    20,162.48x = 339,437,246.45
  5. Step 5: Solve for x
    x = 339,437,246.45/20,162.48
  6. Step 6: Final answer
    x = 16,835.09

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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.