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Finding the Fourth Proportional to 12,170.75, 18,208.09 and 9,217.72

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Solution

The fourth proportional to 12,170.75, 18,208.09 and 9,217.72 is: 13,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.75 : 18,208.09 = 9,217.72 : x
  2. Step 2: Convert to fraction form
    12,170.75/18,208.09 = 9,217.72/x
  3. Step 3: Cross multiply
    12,170.75x = 18,208.09 × 9,217.72
  4. Step 4: Simplify right side
    12,170.75x = 167,837,160.85
  5. Step 5: Solve for x
    x = 167,837,160.85/12,170.75
  6. Step 6: Final answer
    x = 13,790.21

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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.