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Finding the Fourth Proportional to 23,275.94, 34,914.23 and 5,745.75

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Solution

The fourth proportional to 23,275.94, 34,914.23 and 5,745.75 is: 8,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,275.94 : 34,914.23 = 5,745.75 : x
  2. Step 2: Convert to fraction form
    23,275.94/34,914.23 = 5,745.75/x
  3. Step 3: Cross multiply
    23,275.94x = 34,914.23 × 5,745.75
  4. Step 4: Simplify right side
    23,275.94x = 200,608,408.29
  5. Step 5: Solve for x
    x = 200,608,408.29/23,275.94
  6. Step 6: Final answer
    x = 8,618.70

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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.