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Finding the Fourth Proportional to 17,825.54, 24,601.84 and 10,270.42

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Solution

The fourth proportional to 17,825.54, 24,601.84 and 10,270.42 is: 14,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.54 : 24,601.84 = 10,270.42 : x
  2. Step 2: Convert to fraction form
    17,825.54/24,601.84 = 10,270.42/x
  3. Step 3: Cross multiply
    17,825.54x = 24,601.84 × 10,270.42
  4. Step 4: Simplify right side
    17,825.54x = 252,671,142.39
  5. Step 5: Solve for x
    x = 252,671,142.39/17,825.54
  6. Step 6: Final answer
    x = 14,174.67

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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.