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Finding the Fourth Proportional to 14,227.94, 19,634.57 and 7,940.32

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Solution

The fourth proportional to 14,227.94, 19,634.57 and 7,940.32 is: 10,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.94 : 19,634.57 = 7,940.32 : x
  2. Step 2: Convert to fraction form
    14,227.94/19,634.57 = 7,940.32/x
  3. Step 3: Cross multiply
    14,227.94x = 19,634.57 × 7,940.32
  4. Step 4: Simplify right side
    14,227.94x = 155,904,650.84
  5. Step 5: Solve for x
    x = 155,904,650.84/14,227.94
  6. Step 6: Final answer
    x = 10,957.64

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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.