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Finding the Fourth Proportional to 20,178.17, 27,782.49 and 17,146.89

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Solution

The fourth proportional to 20,178.17, 27,782.49 and 17,146.89 is: 23,608.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.17 : 27,782.49 = 17,146.89 : x
  2. Step 2: Convert to fraction form
    20,178.17/27,782.49 = 17,146.89/x
  3. Step 3: Cross multiply
    20,178.17x = 27,782.49 × 17,146.89
  4. Step 4: Simplify right side
    20,178.17x = 476,383,299.96
  5. Step 5: Solve for x
    x = 476,383,299.96/20,178.17
  6. Step 6: Final answer
    x = 23,608.85

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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.