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Finding the Fourth Proportional to 13,717.82, 18,919.32 and 8,408.90

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Solution

The fourth proportional to 13,717.82, 18,919.32 and 8,408.90 is: 11,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.82 : 18,919.32 = 8,408.90 : x
  2. Step 2: Convert to fraction form
    13,717.82/18,919.32 = 8,408.90/x
  3. Step 3: Cross multiply
    13,717.82x = 18,919.32 × 8,408.90
  4. Step 4: Simplify right side
    13,717.82x = 159,090,669.95
  5. Step 5: Solve for x
    x = 159,090,669.95/13,717.82
  6. Step 6: Final answer
    x = 11,597.37

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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.