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Finding the Fourth Proportional to 16,229.79, 22,410.77 and 10,271.97

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Solution

The fourth proportional to 16,229.79, 22,410.77 and 10,271.97 is: 14,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.79 : 22,410.77 = 10,271.97 : x
  2. Step 2: Convert to fraction form
    16,229.79/22,410.77 = 10,271.97/x
  3. Step 3: Cross multiply
    16,229.79x = 22,410.77 × 10,271.97
  4. Step 4: Simplify right side
    16,229.79x = 230,202,705.76
  5. Step 5: Solve for x
    x = 230,202,705.76/16,229.79
  6. Step 6: Final answer
    x = 14,183.96

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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.