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Finding the Fourth Proportional to 20,205.96, 27,883.98 and 11,822.46

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Solution

The fourth proportional to 20,205.96, 27,883.98 and 11,822.46 is: 16,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.96 : 27,883.98 = 11,822.46 : x
  2. Step 2: Convert to fraction form
    20,205.96/27,883.98 = 11,822.46/x
  3. Step 3: Cross multiply
    20,205.96x = 27,883.98 × 11,822.46
  4. Step 4: Simplify right side
    20,205.96x = 329,657,238.19
  5. Step 5: Solve for x
    x = 329,657,238.19/20,205.96
  6. Step 6: Final answer
    x = 16,314.85

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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.