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Finding the Fourth Proportional to 17,286.99, 23,858.96 and 10,018

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Solution

The fourth proportional to 17,286.99, 23,858.96 and 10,018 is: 13,826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.99 : 23,858.96 = 10,018 : x
  2. Step 2: Convert to fraction form
    17,286.99/23,858.96 = 10,018/x
  3. Step 3: Cross multiply
    17,286.99x = 23,858.96 × 10,018
  4. Step 4: Simplify right side
    17,286.99x = 239,019,061.28
  5. Step 5: Solve for x
    x = 239,019,061.28/17,286.99
  6. Step 6: Final answer
    x = 13,826.53

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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.