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Finding the Fourth Proportional to 20,202.50, 27,881.62 and 11,826.02

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Solution

The fourth proportional to 20,202.50, 27,881.62 and 11,826.02 is: 16,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.50 : 27,881.62 = 11,826.02 : x
  2. Step 2: Convert to fraction form
    20,202.50/27,881.62 = 11,826.02/x
  3. Step 3: Cross multiply
    20,202.50x = 27,881.62 × 11,826.02
  4. Step 4: Simplify right side
    20,202.50x = 329,728,595.75
  5. Step 5: Solve for x
    x = 329,728,595.75/20,202.50
  6. Step 6: Final answer
    x = 16,321.18

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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.