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Finding the Fourth Proportional to 20,202.68, 27,872.30 and 12,239.16

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Solution

The fourth proportional to 20,202.68, 27,872.30 and 12,239.16 is: 16,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.68 : 27,872.30 = 12,239.16 : x
  2. Step 2: Convert to fraction form
    20,202.68/27,872.30 = 12,239.16/x
  3. Step 3: Cross multiply
    20,202.68x = 27,872.30 × 12,239.16
  4. Step 4: Simplify right side
    20,202.68x = 341,133,539.27
  5. Step 5: Solve for x
    x = 341,133,539.27/20,202.68
  6. Step 6: Final answer
    x = 16,885.56

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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.