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Finding the Fourth Proportional to 22,992.88, 34,480.68 and 8,197.80

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Solution

The fourth proportional to 22,992.88, 34,480.68 and 8,197.80 is: 12,293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992.88 : 34,480.68 = 8,197.80 : x
  2. Step 2: Convert to fraction form
    22,992.88/34,480.68 = 8,197.80/x
  3. Step 3: Cross multiply
    22,992.88x = 34,480.68 × 8,197.80
  4. Step 4: Simplify right side
    22,992.88x = 282,665,718.50
  5. Step 5: Solve for x
    x = 282,665,718.50/22,992.88
  6. Step 6: Final answer
    x = 12,293.62

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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.