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Finding the Fourth Proportional to 21,189.67, 31,794.84 and 8,713.44

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Solution

The fourth proportional to 21,189.67, 31,794.84 and 8,713.44 is: 13,074.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,189.67 : 31,794.84 = 8,713.44 : x
  2. Step 2: Convert to fraction form
    21,189.67/31,794.84 = 8,713.44/x
  3. Step 3: Cross multiply
    21,189.67x = 31,794.84 × 8,713.44
  4. Step 4: Simplify right side
    21,189.67x = 277,042,430.65
  5. Step 5: Solve for x
    x = 277,042,430.65/21,189.67
  6. Step 6: Final answer
    x = 13,074.41

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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.