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Finding the Fourth Proportional to 23,208.14, 34,808.87 and 7,414.97

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Solution

The fourth proportional to 23,208.14, 34,808.87 and 7,414.97 is: 11,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208.14 : 34,808.87 = 7,414.97 : x
  2. Step 2: Convert to fraction form
    23,208.14/34,808.87 = 7,414.97/x
  3. Step 3: Cross multiply
    23,208.14x = 34,808.87 × 7,414.97
  4. Step 4: Simplify right side
    23,208.14x = 258,106,571.28
  5. Step 5: Solve for x
    x = 258,106,571.28/23,208.14
  6. Step 6: Final answer
    x = 11,121.38

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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.