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Finding the Fourth Proportional to 16,408.49, 22,635.96 and 9,689.64

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Solution

The fourth proportional to 16,408.49, 22,635.96 and 9,689.64 is: 13,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.49 : 22,635.96 = 9,689.64 : x
  2. Step 2: Convert to fraction form
    16,408.49/22,635.96 = 9,689.64/x
  3. Step 3: Cross multiply
    16,408.49x = 22,635.96 × 9,689.64
  4. Step 4: Simplify right side
    16,408.49x = 219,334,309.56
  5. Step 5: Solve for x
    x = 219,334,309.56/16,408.49
  6. Step 6: Final answer
    x = 13,367.12

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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.