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Finding the Fourth Proportional to 29,853.44, 41,196.84 and 16,424.68

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Solution

The fourth proportional to 29,853.44, 41,196.84 and 16,424.68 is: 22,665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,853.44 : 41,196.84 = 16,424.68 : x
  2. Step 2: Convert to fraction form
    29,853.44/41,196.84 = 16,424.68/x
  3. Step 3: Cross multiply
    29,853.44x = 41,196.84 × 16,424.68
  4. Step 4: Simplify right side
    29,853.44x = 676,644,914.01
  5. Step 5: Solve for x
    x = 676,644,914.01/29,853.44
  6. Step 6: Final answer
    x = 22,665.56

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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.