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Finding the Fourth Proportional to 22,384.25, 33,576.18 and 8,343.80

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Solution

The fourth proportional to 22,384.25, 33,576.18 and 8,343.80 is: 12,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.25 : 33,576.18 = 8,343.80 : x
  2. Step 2: Convert to fraction form
    22,384.25/33,576.18 = 8,343.80/x
  3. Step 3: Cross multiply
    22,384.25x = 33,576.18 × 8,343.80
  4. Step 4: Simplify right side
    22,384.25x = 280,152,762.80
  5. Step 5: Solve for x
    x = 280,152,762.80/22,384.25
  6. Step 6: Final answer
    x = 12,515.62

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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.