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Finding the Fourth Proportional to 13,907.96, 19,194.34 and 7,940.52

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Solution

The fourth proportional to 13,907.96, 19,194.34 and 7,940.52 is: 10,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.96 : 19,194.34 = 7,940.52 : x
  2. Step 2: Convert to fraction form
    13,907.96/19,194.34 = 7,940.52/x
  3. Step 3: Cross multiply
    13,907.96x = 19,194.34 × 7,940.52
  4. Step 4: Simplify right side
    13,907.96x = 152,413,040.66
  5. Step 5: Solve for x
    x = 152,413,040.66/13,907.96
  6. Step 6: Final answer
    x = 10,958.69

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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.