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Finding the Fourth Proportional to 23,627.44, 35,432.34 and 7,829.56

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Solution

The fourth proportional to 23,627.44, 35,432.34 and 7,829.56 is: 11,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,627.44 : 35,432.34 = 7,829.56 : x
  2. Step 2: Convert to fraction form
    23,627.44/35,432.34 = 7,829.56/x
  3. Step 3: Cross multiply
    23,627.44x = 35,432.34 × 7,829.56
  4. Step 4: Simplify right side
    23,627.44x = 277,419,631.97
  5. Step 5: Solve for x
    x = 277,419,631.97/23,627.44
  6. Step 6: Final answer
    x = 11,741.42

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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.