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Finding the Fourth Proportional to 16,098.44, 24,119.50 and 11,171.22

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Solution

The fourth proportional to 16,098.44, 24,119.50 and 11,171.22 is: 16,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.44 : 24,119.50 = 11,171.22 : x
  2. Step 2: Convert to fraction form
    16,098.44/24,119.50 = 11,171.22/x
  3. Step 3: Cross multiply
    16,098.44x = 24,119.50 × 11,171.22
  4. Step 4: Simplify right side
    16,098.44x = 269,444,240.79
  5. Step 5: Solve for x
    x = 269,444,240.79/16,098.44
  6. Step 6: Final answer
    x = 16,737.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.