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Finding the Fourth Proportional to 21,634.49, 29,856.99 and 12,202.85

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Solution

The fourth proportional to 21,634.49, 29,856.99 and 12,202.85 is: 16,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.49 : 29,856.99 = 12,202.85 : x
  2. Step 2: Convert to fraction form
    21,634.49/29,856.99 = 12,202.85/x
  3. Step 3: Cross multiply
    21,634.49x = 29,856.99 × 12,202.85
  4. Step 4: Simplify right side
    21,634.49x = 364,340,160.12
  5. Step 5: Solve for x
    x = 364,340,160.12/21,634.49
  6. Step 6: Final answer
    x = 16,840.71

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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.