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Finding the Fourth Proportional to 23,780.46, 35,672.22 and 7,984.85

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Solution

The fourth proportional to 23,780.46, 35,672.22 and 7,984.85 is: 11,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.46 : 35,672.22 = 7,984.85 : x
  2. Step 2: Convert to fraction form
    23,780.46/35,672.22 = 7,984.85/x
  3. Step 3: Cross multiply
    23,780.46x = 35,672.22 × 7,984.85
  4. Step 4: Simplify right side
    23,780.46x = 284,837,415.05
  5. Step 5: Solve for x
    x = 284,837,415.05/23,780.46
  6. Step 6: Final answer
    x = 11,977.79

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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.