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Finding the Fourth Proportional to 22,138.74, 33,213.30 and 6,343.98

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Solution

The fourth proportional to 22,138.74, 33,213.30 and 6,343.98 is: 9,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.74 : 33,213.30 = 6,343.98 : x
  2. Step 2: Convert to fraction form
    22,138.74/33,213.30 = 6,343.98/x
  3. Step 3: Cross multiply
    22,138.74x = 33,213.30 × 6,343.98
  4. Step 4: Simplify right side
    22,138.74x = 210,704,510.93
  5. Step 5: Solve for x
    x = 210,704,510.93/22,138.74
  6. Step 6: Final answer
    x = 9,517.46

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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.