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Finding the Fourth Proportional to 24,147.84, 36,198.72 and 8,556.96

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Solution

The fourth proportional to 24,147.84, 36,198.72 and 8,556.96 is: 12,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,147.84 : 36,198.72 = 8,556.96 : x
  2. Step 2: Convert to fraction form
    24,147.84/36,198.72 = 8,556.96/x
  3. Step 3: Cross multiply
    24,147.84x = 36,198.72 × 8,556.96
  4. Step 4: Simplify right side
    24,147.84x = 309,750,999.09
  5. Step 5: Solve for x
    x = 309,750,999.09/24,147.84
  6. Step 6: Final answer
    x = 12,827.28

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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.