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Finding the Fourth Proportional to 17,825.92, 24,600.11 and 10,270.98

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Solution

The fourth proportional to 17,825.92, 24,600.11 and 10,270.98 is: 14,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.92 : 24,600.11 = 10,270.98 : x
  2. Step 2: Convert to fraction form
    17,825.92/24,600.11 = 10,270.98/x
  3. Step 3: Cross multiply
    17,825.92x = 24,600.11 × 10,270.98
  4. Step 4: Simplify right side
    17,825.92x = 252,667,117.27
  5. Step 5: Solve for x
    x = 252,667,117.27/17,825.92
  6. Step 6: Final answer
    x = 14,174.14

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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.