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Finding the Fourth Proportional to 21,338.94, 29,447.74 and 11,778.83

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Solution

The fourth proportional to 21,338.94, 29,447.74 and 11,778.83 is: 16,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.94 : 29,447.74 = 11,778.83 : x
  2. Step 2: Convert to fraction form
    21,338.94/29,447.74 = 11,778.83/x
  3. Step 3: Cross multiply
    21,338.94x = 29,447.74 × 11,778.83
  4. Step 4: Simplify right side
    21,338.94x = 346,859,717.21
  5. Step 5: Solve for x
    x = 346,859,717.21/21,338.94
  6. Step 6: Final answer
    x = 16,254.78

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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.