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Finding the Fourth Proportional to 17,825.73, 24,596.23 and 10,271

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Solution

The fourth proportional to 17,825.73, 24,596.23 and 10,271 is: 14,172.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.73 : 24,596.23 = 10,271 : x
  2. Step 2: Convert to fraction form
    17,825.73/24,596.23 = 10,271/x
  3. Step 3: Cross multiply
    17,825.73x = 24,596.23 × 10,271
  4. Step 4: Simplify right side
    17,825.73x = 252,627,878.33
  5. Step 5: Solve for x
    x = 252,627,878.33/17,825.73
  6. Step 6: Final answer
    x = 14,172.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.