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Finding the Fourth Proportional to 14,414.68, 21,638.22 and 11,166.94

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Solution

The fourth proportional to 14,414.68, 21,638.22 and 11,166.94 is: 16,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.68 : 21,638.22 = 11,166.94 : x
  2. Step 2: Convert to fraction form
    14,414.68/21,638.22 = 11,166.94/x
  3. Step 3: Cross multiply
    14,414.68x = 21,638.22 × 11,166.94
  4. Step 4: Simplify right side
    14,414.68x = 241,632,704.45
  5. Step 5: Solve for x
    x = 241,632,704.45/14,414.68
  6. Step 6: Final answer
    x = 16,762.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.