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Finding the Fourth Proportional to 23,544.32, 35,321.28 and 7,961.76

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Solution

The fourth proportional to 23,544.32, 35,321.28 and 7,961.76 is: 11,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544.32 : 35,321.28 = 7,961.76 : x
  2. Step 2: Convert to fraction form
    23,544.32/35,321.28 = 7,961.76/x
  3. Step 3: Cross multiply
    23,544.32x = 35,321.28 × 7,961.76
  4. Step 4: Simplify right side
    23,544.32x = 281,219,554.25
  5. Step 5: Solve for x
    x = 281,219,554.25/23,544.32
  6. Step 6: Final answer
    x = 11,944.26

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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.