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Finding the Fourth Proportional to 22,303.58, 30,778.85 and 12,231.75

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Solution

The fourth proportional to 22,303.58, 30,778.85 and 12,231.75 is: 16,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.58 : 30,778.85 = 12,231.75 : x
  2. Step 2: Convert to fraction form
    22,303.58/30,778.85 = 12,231.75/x
  3. Step 3: Cross multiply
    22,303.58x = 30,778.85 × 12,231.75
  4. Step 4: Simplify right side
    22,303.58x = 376,479,137.33
  5. Step 5: Solve for x
    x = 376,479,137.33/22,303.58
  6. Step 6: Final answer
    x = 16,879.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.