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Finding the Fourth Proportional to 16,196.45, 22,361.42 and 13,219.39

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Solution

The fourth proportional to 16,196.45, 22,361.42 and 13,219.39 is: 18,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.45 : 22,361.42 = 13,219.39 : x
  2. Step 2: Convert to fraction form
    16,196.45/22,361.42 = 13,219.39/x
  3. Step 3: Cross multiply
    16,196.45x = 22,361.42 × 13,219.39
  4. Step 4: Simplify right side
    16,196.45x = 295,604,331.93
  5. Step 5: Solve for x
    x = 295,604,331.93/16,196.45
  6. Step 6: Final answer
    x = 18,251.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.