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Finding the Fourth Proportional to 23,377.14, 35,054.37 and 7,789.50

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Solution

The fourth proportional to 23,377.14, 35,054.37 and 7,789.50 is: 11,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,377.14 : 35,054.37 = 7,789.50 : x
  2. Step 2: Convert to fraction form
    23,377.14/35,054.37 = 7,789.50/x
  3. Step 3: Cross multiply
    23,377.14x = 35,054.37 × 7,789.50
  4. Step 4: Simplify right side
    23,377.14x = 273,056,015.12
  5. Step 5: Solve for x
    x = 273,056,015.12/23,377.14
  6. Step 6: Final answer
    x = 11,680.47

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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.