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Finding the Fourth Proportional to 16,138.50, 24,212.62 and 5,046.36

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Solution

The fourth proportional to 16,138.50, 24,212.62 and 5,046.36 is: 7,571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.50 : 24,212.62 = 5,046.36 : x
  2. Step 2: Convert to fraction form
    16,138.50/24,212.62 = 5,046.36/x
  3. Step 3: Cross multiply
    16,138.50x = 24,212.62 × 5,046.36
  4. Step 4: Simplify right side
    16,138.50x = 122,185,597.06
  5. Step 5: Solve for x
    x = 122,185,597.06/16,138.50
  6. Step 6: Final answer
    x = 7,571.06

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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.