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Finding the Fourth Proportional to 14,782.82, 20,399.49 and 8,408.57

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Solution

The fourth proportional to 14,782.82, 20,399.49 and 8,408.57 is: 11,603.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.82 : 20,399.49 = 8,408.57 : x
  2. Step 2: Convert to fraction form
    14,782.82/20,399.49 = 8,408.57/x
  3. Step 3: Cross multiply
    14,782.82x = 20,399.49 × 8,408.57
  4. Step 4: Simplify right side
    14,782.82x = 171,530,437.63
  5. Step 5: Solve for x
    x = 171,530,437.63/14,782.82
  6. Step 6: Final answer
    x = 11,603.37

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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.