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Finding the Fourth Proportional to 23,723.98, 35,584.74 and 7,084.15

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Solution

The fourth proportional to 23,723.98, 35,584.74 and 7,084.15 is: 10,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.98 : 35,584.74 = 7,084.15 : x
  2. Step 2: Convert to fraction form
    23,723.98/35,584.74 = 7,084.15/x
  3. Step 3: Cross multiply
    23,723.98x = 35,584.74 × 7,084.15
  4. Step 4: Simplify right side
    23,723.98x = 252,087,635.87
  5. Step 5: Solve for x
    x = 252,087,635.87/23,723.98
  6. Step 6: Final answer
    x = 10,625.86

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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.