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Finding the Fourth Proportional to 23,405.75, 35,101.32 and 7,819.73

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Solution

The fourth proportional to 23,405.75, 35,101.32 and 7,819.73 is: 11,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.75 : 35,101.32 = 7,819.73 : x
  2. Step 2: Convert to fraction form
    23,405.75/35,101.32 = 7,819.73/x
  3. Step 3: Cross multiply
    23,405.75x = 35,101.32 × 7,819.73
  4. Step 4: Simplify right side
    23,405.75x = 274,482,669.54
  5. Step 5: Solve for x
    x = 274,482,669.54/23,405.75
  6. Step 6: Final answer
    x = 11,727.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.