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Finding the Fourth Proportional to 29,828.29, 41,163.31 and 16,399.63

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Solution

The fourth proportional to 29,828.29, 41,163.31 and 16,399.63 is: 22,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,828.29 : 41,163.31 = 16,399.63 : x
  2. Step 2: Convert to fraction form
    29,828.29/41,163.31 = 16,399.63/x
  3. Step 3: Cross multiply
    29,828.29x = 41,163.31 × 16,399.63
  4. Step 4: Simplify right side
    29,828.29x = 675,063,053.58
  5. Step 5: Solve for x
    x = 675,063,053.58/29,828.29
  6. Step 6: Final answer
    x = 22,631.64

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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.