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Finding the Fourth Proportional to 23,499.50, 35,245.47 and 6,855.62

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Solution

The fourth proportional to 23,499.50, 35,245.47 and 6,855.62 is: 10,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499.50 : 35,245.47 = 6,855.62 : x
  2. Step 2: Convert to fraction form
    23,499.50/35,245.47 = 6,855.62/x
  3. Step 3: Cross multiply
    23,499.50x = 35,245.47 × 6,855.62
  4. Step 4: Simplify right side
    23,499.50x = 241,629,549.04
  5. Step 5: Solve for x
    x = 241,629,549.04/23,499.50
  6. Step 6: Final answer
    x = 10,282.33

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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.