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Finding the Fourth Proportional to 20,667, 31,000.52 and 6,816

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Solution

The fourth proportional to 20,667, 31,000.52 and 6,816 is: 10,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,667 : 31,000.52 = 6,816 : x
  2. Step 2: Convert to fraction form
    20,667/31,000.52 = 6,816/x
  3. Step 3: Cross multiply
    20,667x = 31,000.52 × 6,816
  4. Step 4: Simplify right side
    20,667x = 211,299,544.32
  5. Step 5: Solve for x
    x = 211,299,544.32/20,667
  6. Step 6: Final answer
    x = 10,224.01

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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.