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Finding the Fourth Proportional to 23,724.78, 35,591.50 and 7,928.31

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Solution

The fourth proportional to 23,724.78, 35,591.50 and 7,928.31 is: 11,893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724.78 : 35,591.50 = 7,928.31 : x
  2. Step 2: Convert to fraction form
    23,724.78/35,591.50 = 7,928.31/x
  3. Step 3: Cross multiply
    23,724.78x = 35,591.50 × 7,928.31
  4. Step 4: Simplify right side
    23,724.78x = 282,180,445.37
  5. Step 5: Solve for x
    x = 282,180,445.37/23,724.78
  6. Step 6: Final answer
    x = 11,893.91

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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.