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Finding the Fourth Proportional to 12,634.57, 17,435.82 and 7,329.48

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Solution

The fourth proportional to 12,634.57, 17,435.82 and 7,329.48 is: 10,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.57 : 17,435.82 = 7,329.48 : x
  2. Step 2: Convert to fraction form
    12,634.57/17,435.82 = 7,329.48/x
  3. Step 3: Cross multiply
    12,634.57x = 17,435.82 × 7,329.48
  4. Step 4: Simplify right side
    12,634.57x = 127,795,493.97
  5. Step 5: Solve for x
    x = 127,795,493.97/12,634.57
  6. Step 6: Final answer
    x = 10,114.75

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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.