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Finding the Fourth Proportional to 12,510, 18,772.20 and 5,584.68

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Solution

The fourth proportional to 12,510, 18,772.20 and 5,584.68 is: 8,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,510 : 18,772.20 = 5,584.68 : x
  2. Step 2: Convert to fraction form
    12,510/18,772.20 = 5,584.68/x
  3. Step 3: Cross multiply
    12,510x = 18,772.20 × 5,584.68
  4. Step 4: Simplify right side
    12,510x = 104,836,729.90
  5. Step 5: Solve for x
    x = 104,836,729.90/12,510
  6. Step 6: Final answer
    x = 8,380.23

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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.