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Finding the Fourth Proportional to 17,771.63, 24,524.83 and 10,219.44

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Solution

The fourth proportional to 17,771.63, 24,524.83 and 10,219.44 is: 14,102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.63 : 24,524.83 = 10,219.44 : x
  2. Step 2: Convert to fraction form
    17,771.63/24,524.83 = 10,219.44/x
  3. Step 3: Cross multiply
    17,771.63x = 24,524.83 × 10,219.44
  4. Step 4: Simplify right side
    17,771.63x = 250,630,003.15
  5. Step 5: Solve for x
    x = 250,630,003.15/17,771.63
  6. Step 6: Final answer
    x = 14,102.82

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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.