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Finding the Fourth Proportional to 16,208.85, 22,367.57 and 9,136.74

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Solution

The fourth proportional to 16,208.85, 22,367.57 and 9,136.74 is: 12,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.85 : 22,367.57 = 9,136.74 : x
  2. Step 2: Convert to fraction form
    16,208.85/22,367.57 = 9,136.74/x
  3. Step 3: Cross multiply
    16,208.85x = 22,367.57 × 9,136.74
  4. Step 4: Simplify right side
    16,208.85x = 204,366,625.84
  5. Step 5: Solve for x
    x = 204,366,625.84/16,208.85
  6. Step 6: Final answer
    x = 12,608.34

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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.