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Finding the Fourth Proportional to 16,764.89, 23,136.07 and 9,211.46

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Solution

The fourth proportional to 16,764.89, 23,136.07 and 9,211.46 is: 12,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,764.89 : 23,136.07 = 9,211.46 : x
  2. Step 2: Convert to fraction form
    16,764.89/23,136.07 = 9,211.46/x
  3. Step 3: Cross multiply
    16,764.89x = 23,136.07 × 9,211.46
  4. Step 4: Simplify right side
    16,764.89x = 213,116,873.37
  5. Step 5: Solve for x
    x = 213,116,873.37/16,764.89
  6. Step 6: Final answer
    x = 12,712.09

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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.