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Finding the Fourth Proportional to 20,213.88, 30,315.06 and 7,899

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Solution

The fourth proportional to 20,213.88, 30,315.06 and 7,899 is: 11,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213.88 : 30,315.06 = 7,899 : x
  2. Step 2: Convert to fraction form
    20,213.88/30,315.06 = 7,899/x
  3. Step 3: Cross multiply
    20,213.88x = 30,315.06 × 7,899
  4. Step 4: Simplify right side
    20,213.88x = 239,458,658.94
  5. Step 5: Solve for x
    x = 239,458,658.94/20,213.88
  6. Step 6: Final answer
    x = 11,846.25

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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.