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Finding the Fourth Proportional to 18,205.93, 27,315.47 and 6,361.47

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Solution

The fourth proportional to 18,205.93, 27,315.47 and 6,361.47 is: 9,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,205.93 : 27,315.47 = 6,361.47 : x
  2. Step 2: Convert to fraction form
    18,205.93/27,315.47 = 6,361.47/x
  3. Step 3: Cross multiply
    18,205.93x = 27,315.47 × 6,361.47
  4. Step 4: Simplify right side
    18,205.93x = 173,766,542.94
  5. Step 5: Solve for x
    x = 173,766,542.94/18,205.93
  6. Step 6: Final answer
    x = 9,544.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.