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Finding the Fourth Proportional to 16,438.34, 24,640.50 and 8,107.22

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Solution

The fourth proportional to 16,438.34, 24,640.50 and 8,107.22 is: 12,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438.34 : 24,640.50 = 8,107.22 : x
  2. Step 2: Convert to fraction form
    16,438.34/24,640.50 = 8,107.22/x
  3. Step 3: Cross multiply
    16,438.34x = 24,640.50 × 8,107.22
  4. Step 4: Simplify right side
    16,438.34x = 199,765,954.41
  5. Step 5: Solve for x
    x = 199,765,954.41/16,438.34
  6. Step 6: Final answer
    x = 12,152.44

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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.