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Finding the Fourth Proportional to 12,745.68, 17,586.72 and 7,441.44

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Solution

The fourth proportional to 12,745.68, 17,586.72 and 7,441.44 is: 10,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745.68 : 17,586.72 = 7,441.44 : x
  2. Step 2: Convert to fraction form
    12,745.68/17,586.72 = 7,441.44/x
  3. Step 3: Cross multiply
    12,745.68x = 17,586.72 × 7,441.44
  4. Step 4: Simplify right side
    12,745.68x = 130,870,521.68
  5. Step 5: Solve for x
    x = 130,870,521.68/12,745.68
  6. Step 6: Final answer
    x = 10,267.83

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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.