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Finding the Fourth Proportional to 22,674.08, 34,015.44 and 8,822

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Solution

The fourth proportional to 22,674.08, 34,015.44 and 8,822 is: 13,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.08 : 34,015.44 = 8,822 : x
  2. Step 2: Convert to fraction form
    22,674.08/34,015.44 = 8,822/x
  3. Step 3: Cross multiply
    22,674.08x = 34,015.44 × 8,822
  4. Step 4: Simplify right side
    22,674.08x = 300,084,211.68
  5. Step 5: Solve for x
    x = 300,084,211.68/22,674.08
  6. Step 6: Final answer
    x = 13,234.68

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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.