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Finding the Fourth Proportional to 12,741.75, 17,576.00 and 8,017.83

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Solution

The fourth proportional to 12,741.75, 17,576.00 and 8,017.83 is: 11,059.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.75 : 17,576.00 = 8,017.83 : x
  2. Step 2: Convert to fraction form
    12,741.75/17,576.00 = 8,017.83/x
  3. Step 3: Cross multiply
    12,741.75x = 17,576.00 × 8,017.83
  4. Step 4: Simplify right side
    12,741.75x = 140,921,339.99
  5. Step 5: Solve for x
    x = 140,921,339.99/12,741.75
  6. Step 6: Final answer
    x = 11,059.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.