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Finding the Fourth Proportional to 14,314.26, 19,754.04 and 7,940.95

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Solution

The fourth proportional to 14,314.26, 19,754.04 and 7,940.95 is: 10,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.26 : 19,754.04 = 7,940.95 : x
  2. Step 2: Convert to fraction form
    14,314.26/19,754.04 = 7,940.95/x
  3. Step 3: Cross multiply
    14,314.26x = 19,754.04 × 7,940.95
  4. Step 4: Simplify right side
    14,314.26x = 156,865,843.94
  5. Step 5: Solve for x
    x = 156,865,843.94/14,314.26
  6. Step 6: Final answer
    x = 10,958.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.