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Finding the Fourth Proportional to 29,859.46, 41,206.70 and 16,431.41

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Solution

The fourth proportional to 29,859.46, 41,206.70 and 16,431.41 is: 22,675.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,859.46 : 41,206.70 = 16,431.41 : x
  2. Step 2: Convert to fraction form
    29,859.46/41,206.70 = 16,431.41/x
  3. Step 3: Cross multiply
    29,859.46x = 41,206.70 × 16,431.41
  4. Step 4: Simplify right side
    29,859.46x = 677,084,326.54
  5. Step 5: Solve for x
    x = 677,084,326.54/29,859.46
  6. Step 6: Final answer
    x = 22,675.71

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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.