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Finding the Fourth Proportional to 17,716.32, 26,559.39 and 7,850.22

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Solution

The fourth proportional to 17,716.32, 26,559.39 and 7,850.22 is: 11,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.32 : 26,559.39 = 7,850.22 : x
  2. Step 2: Convert to fraction form
    17,716.32/26,559.39 = 7,850.22/x
  3. Step 3: Cross multiply
    17,716.32x = 26,559.39 × 7,850.22
  4. Step 4: Simplify right side
    17,716.32x = 208,496,984.41
  5. Step 5: Solve for x
    x = 208,496,984.41/17,716.32
  6. Step 6: Final answer
    x = 11,768.64

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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.