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Finding the Fourth Proportional to 13,194, 19,788.84 and 9,286.56

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Solution

The fourth proportional to 13,194, 19,788.84 and 9,286.56 is: 13,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194 : 19,788.84 = 9,286.56 : x
  2. Step 2: Convert to fraction form
    13,194/19,788.84 = 9,286.56/x
  3. Step 3: Cross multiply
    13,194x = 19,788.84 × 9,286.56
  4. Step 4: Simplify right side
    13,194x = 183,770,249.99
  5. Step 5: Solve for x
    x = 183,770,249.99/13,194
  6. Step 6: Final answer
    x = 13,928.32

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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.