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Finding the Fourth Proportional to 22,969.38, 34,456.50 and 8,179.68

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Solution

The fourth proportional to 22,969.38, 34,456.50 and 8,179.68 is: 12,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.38 : 34,456.50 = 8,179.68 : x
  2. Step 2: Convert to fraction form
    22,969.38/34,456.50 = 8,179.68/x
  3. Step 3: Cross multiply
    22,969.38x = 34,456.50 × 8,179.68
  4. Step 4: Simplify right side
    22,969.38x = 281,843,143.92
  5. Step 5: Solve for x
    x = 281,843,143.92/22,969.38
  6. Step 6: Final answer
    x = 12,270.39

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1.5x scale

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.