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Finding the Fourth Proportional to 29,835.21, 41,172.89 and 16,406.56

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Solution

The fourth proportional to 29,835.21, 41,172.89 and 16,406.56 is: 22,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.21 : 41,172.89 = 16,406.56 : x
  2. Step 2: Convert to fraction form
    29,835.21/41,172.89 = 16,406.56/x
  3. Step 3: Cross multiply
    29,835.21x = 41,172.89 × 16,406.56
  4. Step 4: Simplify right side
    29,835.21x = 675,505,408.13
  5. Step 5: Solve for x
    x = 675,505,408.13/29,835.21
  6. Step 6: Final answer
    x = 22,641.22

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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.