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Finding the Fourth Proportional to 18,825, 25,989.74 and 11,760.99

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Solution

The fourth proportional to 18,825, 25,989.74 and 11,760.99 is: 16,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,825 : 25,989.74 = 11,760.99 : x
  2. Step 2: Convert to fraction form
    18,825/25,989.74 = 11,760.99/x
  3. Step 3: Cross multiply
    18,825x = 25,989.74 × 11,760.99
  4. Step 4: Simplify right side
    18,825x = 305,665,072.24
  5. Step 5: Solve for x
    x = 305,665,072.24/18,825
  6. Step 6: Final answer
    x = 16,237.19

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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.