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Finding the Fourth Proportional to 17,825.65, 24,601.97 and 10,270.53

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Solution

The fourth proportional to 17,825.65, 24,601.97 and 10,270.53 is: 14,174.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.65 : 24,601.97 = 10,270.53 : x
  2. Step 2: Convert to fraction form
    17,825.65/24,601.97 = 10,270.53/x
  3. Step 3: Cross multiply
    17,825.65x = 24,601.97 × 10,270.53
  4. Step 4: Simplify right side
    17,825.65x = 252,675,388.88
  5. Step 5: Solve for x
    x = 252,675,388.88/17,825.65
  6. Step 6: Final answer
    x = 14,174.82

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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.