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Finding the Fourth Proportional to 27,723.50, 41,576.52 and 8,999.21

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Solution

The fourth proportional to 27,723.50, 41,576.52 and 8,999.21 is: 13,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723.50 : 41,576.52 = 8,999.21 : x
  2. Step 2: Convert to fraction form
    27,723.50/41,576.52 = 8,999.21/x
  3. Step 3: Cross multiply
    27,723.50x = 41,576.52 × 8,999.21
  4. Step 4: Simplify right side
    27,723.50x = 374,155,626.67
  5. Step 5: Solve for x
    x = 374,155,626.67/27,723.50
  6. Step 6: Final answer
    x = 13,495.98

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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.