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Finding the Fourth Proportional to 11,811.53, 17,717.32 and 11,089.82

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Solution

The fourth proportional to 11,811.53, 17,717.32 and 11,089.82 is: 16,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.53 : 17,717.32 = 11,089.82 : x
  2. Step 2: Convert to fraction form
    11,811.53/17,717.32 = 11,089.82/x
  3. Step 3: Cross multiply
    11,811.53x = 17,717.32 × 11,089.82
  4. Step 4: Simplify right side
    11,811.53x = 196,481,834.23
  5. Step 5: Solve for x
    x = 196,481,834.23/11,811.53
  6. Step 6: Final answer
    x = 16,634.75

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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.