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Finding the Fourth Proportional to 16,019.62, 24,022.11 and 4,922.44

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Solution

The fourth proportional to 16,019.62, 24,022.11 and 4,922.44 is: 7,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.62 : 24,022.11 = 4,922.44 : x
  2. Step 2: Convert to fraction form
    16,019.62/24,022.11 = 4,922.44/x
  3. Step 3: Cross multiply
    16,019.62x = 24,022.11 × 4,922.44
  4. Step 4: Simplify right side
    16,019.62x = 118,247,395.15
  5. Step 5: Solve for x
    x = 118,247,395.15/16,019.62
  6. Step 6: Final answer
    x = 7,381.41

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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.