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Finding the Fourth Proportional to 24,196.44, 36,295.74 and 7,556.80

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Solution

The fourth proportional to 24,196.44, 36,295.74 and 7,556.80 is: 11,335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.44 : 36,295.74 = 7,556.80 : x
  2. Step 2: Convert to fraction form
    24,196.44/36,295.74 = 7,556.80/x
  3. Step 3: Cross multiply
    24,196.44x = 36,295.74 × 7,556.80
  4. Step 4: Simplify right side
    24,196.44x = 274,279,648.03
  5. Step 5: Solve for x
    x = 274,279,648.03/24,196.44
  6. Step 6: Final answer
    x = 11,335.54

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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.