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Finding the Fourth Proportional to 23,481.96, 35,228.40 and 6,843.76

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Solution

The fourth proportional to 23,481.96, 35,228.40 and 6,843.76 is: 10,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,481.96 : 35,228.40 = 6,843.76 : x
  2. Step 2: Convert to fraction form
    23,481.96/35,228.40 = 6,843.76/x
  3. Step 3: Cross multiply
    23,481.96x = 35,228.40 × 6,843.76
  4. Step 4: Simplify right side
    23,481.96x = 241,094,714.78
  5. Step 5: Solve for x
    x = 241,094,714.78/23,481.96
  6. Step 6: Final answer
    x = 10,267.23

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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.