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Finding the Fourth Proportional to 29,734.44, 41,034.77 and 16,306.21

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Solution

The fourth proportional to 29,734.44, 41,034.77 and 16,306.21 is: 22,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.44 : 41,034.77 = 16,306.21 : x
  2. Step 2: Convert to fraction form
    29,734.44/41,034.77 = 16,306.21/x
  3. Step 3: Cross multiply
    29,734.44x = 41,034.77 × 16,306.21
  4. Step 4: Simplify right side
    29,734.44x = 669,121,576.92
  5. Step 5: Solve for x
    x = 669,121,576.92/29,734.44
  6. Step 6: Final answer
    x = 22,503.25

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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.