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Finding the Fourth Proportional to 29,836.76, 41,173.94 and 16,409.39

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Solution

The fourth proportional to 29,836.76, 41,173.94 and 16,409.39 is: 22,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,836.76 : 41,173.94 = 16,409.39 : x
  2. Step 2: Convert to fraction form
    29,836.76/41,173.94 = 16,409.39/x
  3. Step 3: Cross multiply
    29,836.76x = 41,173.94 × 16,409.39
  4. Step 4: Simplify right side
    29,836.76x = 675,639,157.25
  5. Step 5: Solve for x
    x = 675,639,157.25/29,836.76
  6. Step 6: Final answer
    x = 22,644.52

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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.