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Finding the Fourth Proportional to 17,867.14, 26,805.94 and 8,004.22

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Solution

The fourth proportional to 17,867.14, 26,805.94 and 8,004.22 is: 12,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.14 : 26,805.94 = 8,004.22 : x
  2. Step 2: Convert to fraction form
    17,867.14/26,805.94 = 8,004.22/x
  3. Step 3: Cross multiply
    17,867.14x = 26,805.94 × 8,004.22
  4. Step 4: Simplify right side
    17,867.14x = 214,560,641.07
  5. Step 5: Solve for x
    x = 214,560,641.07/17,867.14
  6. Step 6: Final answer
    x = 12,008.67

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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.