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Finding the Fourth Proportional to 12,317.87, 18,471.24 and 5,745.94

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Solution

The fourth proportional to 12,317.87, 18,471.24 and 5,745.94 is: 8,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317.87 : 18,471.24 = 5,745.94 : x
  2. Step 2: Convert to fraction form
    12,317.87/18,471.24 = 5,745.94/x
  3. Step 3: Cross multiply
    12,317.87x = 18,471.24 × 5,745.94
  4. Step 4: Simplify right side
    12,317.87x = 106,134,590.59
  5. Step 5: Solve for x
    x = 106,134,590.59/12,317.87
  6. Step 6: Final answer
    x = 8,616.31

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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.