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Finding the Fourth Proportional to 17,768.78, 24,524.43 and 10,220.30

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Solution

The fourth proportional to 17,768.78, 24,524.43 and 10,220.30 is: 14,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.78 : 24,524.43 = 10,220.30 : x
  2. Step 2: Convert to fraction form
    17,768.78/24,524.43 = 10,220.30/x
  3. Step 3: Cross multiply
    17,768.78x = 24,524.43 × 10,220.30
  4. Step 4: Simplify right side
    17,768.78x = 250,647,031.93
  5. Step 5: Solve for x
    x = 250,647,031.93/17,768.78
  6. Step 6: Final answer
    x = 14,106.03

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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.