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Finding the Fourth Proportional to 18,137.88, 27,190.40 and 6,448.37

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Solution

The fourth proportional to 18,137.88, 27,190.40 and 6,448.37 is: 9,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,137.88 : 27,190.40 = 6,448.37 : x
  2. Step 2: Convert to fraction form
    18,137.88/27,190.40 = 6,448.37/x
  3. Step 3: Cross multiply
    18,137.88x = 27,190.40 × 6,448.37
  4. Step 4: Simplify right side
    18,137.88x = 175,333,591.45
  5. Step 5: Solve for x
    x = 175,333,591.45/18,137.88
  6. Step 6: Final answer
    x = 9,666.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.