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Finding the Fourth Proportional to 29,858.69, 41,205.48 and 16,431.32

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Solution

The fourth proportional to 29,858.69, 41,205.48 and 16,431.32 is: 22,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,858.69 : 41,205.48 = 16,431.32 : x
  2. Step 2: Convert to fraction form
    29,858.69/41,205.48 = 16,431.32/x
  3. Step 3: Cross multiply
    29,858.69x = 41,205.48 × 16,431.32
  4. Step 4: Simplify right side
    29,858.69x = 677,060,469.03
  5. Step 5: Solve for x
    x = 677,060,469.03/29,858.69
  6. Step 6: Final answer
    x = 22,675.49

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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.