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Finding the Fourth Proportional to 22,456, 33,683.86 and 5,815.99

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Solution

The fourth proportional to 22,456, 33,683.86 and 5,815.99 is: 8,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456 : 33,683.86 = 5,815.99 : x
  2. Step 2: Convert to fraction form
    22,456/33,683.86 = 5,815.99/x
  3. Step 3: Cross multiply
    22,456x = 33,683.86 × 5,815.99
  4. Step 4: Simplify right side
    22,456x = 195,904,992.92
  5. Step 5: Solve for x
    x = 195,904,992.92/22,456
  6. Step 6: Final answer
    x = 8,723.95

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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.