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Finding the Fourth Proportional to 23,806.65, 35,698.43 and 7,163.58

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Solution

The fourth proportional to 23,806.65, 35,698.43 and 7,163.58 is: 10,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.65 : 35,698.43 = 7,163.58 : x
  2. Step 2: Convert to fraction form
    23,806.65/35,698.43 = 7,163.58/x
  3. Step 3: Cross multiply
    23,806.65x = 35,698.43 × 7,163.58
  4. Step 4: Simplify right side
    23,806.65x = 255,728,577.09
  5. Step 5: Solve for x
    x = 255,728,577.09/23,806.65
  6. Step 6: Final answer
    x = 10,741.90

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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.