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Finding the Fourth Proportional to 20,704.46, 31,051.22 and 8,223.98

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Solution

The fourth proportional to 20,704.46, 31,051.22 and 8,223.98 is: 12,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,704.46 : 31,051.22 = 8,223.98 : x
  2. Step 2: Convert to fraction form
    20,704.46/31,051.22 = 8,223.98/x
  3. Step 3: Cross multiply
    20,704.46x = 31,051.22 × 8,223.98
  4. Step 4: Simplify right side
    20,704.46x = 255,364,415.88
  5. Step 5: Solve for x
    x = 255,364,415.88/20,704.46
  6. Step 6: Final answer
    x = 12,333.79

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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.