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Finding the Fourth Proportional to 29,853.70, 41,197.49 and 16,424.60

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Solution

The fourth proportional to 29,853.70, 41,197.49 and 16,424.60 is: 22,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.70 : 41,197.49 = 16,424.60 : x
  2. Step 2: Convert to fraction form
    29,853.70/41,197.49 = 16,424.60/x
  3. Step 3: Cross multiply
    29,853.70x = 41,197.49 × 16,424.60
  4. Step 4: Simplify right side
    29,853.70x = 676,652,294.25
  5. Step 5: Solve for x
    x = 676,652,294.25/29,853.70
  6. Step 6: Final answer
    x = 22,665.61

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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.