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Finding the Fourth Proportional to 22,821.47, 34,234.92 and 8,778.23

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Solution

The fourth proportional to 22,821.47, 34,234.92 and 8,778.23 is: 13,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.47 : 34,234.92 = 8,778.23 : x
  2. Step 2: Convert to fraction form
    22,821.47/34,234.92 = 8,778.23/x
  3. Step 3: Cross multiply
    22,821.47x = 34,234.92 × 8,778.23
  4. Step 4: Simplify right side
    22,821.47x = 300,521,830.62
  5. Step 5: Solve for x
    x = 300,521,830.62/22,821.47
  6. Step 6: Final answer
    x = 13,168.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.