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Finding the Fourth Proportional to 21,993.76, 32,984.19 and 6,197.74

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Solution

The fourth proportional to 21,993.76, 32,984.19 and 6,197.74 is: 9,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.76 : 32,984.19 = 6,197.74 : x
  2. Step 2: Convert to fraction form
    21,993.76/32,984.19 = 6,197.74/x
  3. Step 3: Cross multiply
    21,993.76x = 32,984.19 × 6,197.74
  4. Step 4: Simplify right side
    21,993.76x = 204,427,433.73
  5. Step 5: Solve for x
    x = 204,427,433.73/21,993.76
  6. Step 6: Final answer
    x = 9,294.79

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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.