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Finding the Fourth Proportional to 21,633.86, 29,856.12 and 12,202.22

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Solution

The fourth proportional to 21,633.86, 29,856.12 and 12,202.22 is: 16,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,633.86 : 29,856.12 = 12,202.22 : x
  2. Step 2: Convert to fraction form
    21,633.86/29,856.12 = 12,202.22/x
  3. Step 3: Cross multiply
    21,633.86x = 29,856.12 × 12,202.22
  4. Step 4: Simplify right side
    21,633.86x = 364,310,944.59
  5. Step 5: Solve for x
    x = 364,310,944.59/21,633.86
  6. Step 6: Final answer
    x = 16,839.85

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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.