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Finding the Fourth Proportional to 20,022.36, 30,033.54 and 6,171

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Solution

The fourth proportional to 20,022.36, 30,033.54 and 6,171 is: 9,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.36 : 30,033.54 = 6,171 : x
  2. Step 2: Convert to fraction form
    20,022.36/30,033.54 = 6,171/x
  3. Step 3: Cross multiply
    20,022.36x = 30,033.54 × 6,171
  4. Step 4: Simplify right side
    20,022.36x = 185,336,975.34
  5. Step 5: Solve for x
    x = 185,336,975.34/20,022.36
  6. Step 6: Final answer
    x = 9,256.50

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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.