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Finding the Fourth Proportional to 12,096, 16,692.48 and 8,372.16

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Solution

The fourth proportional to 12,096, 16,692.48 and 8,372.16 is: 11,553.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096 : 16,692.48 = 8,372.16 : x
  2. Step 2: Convert to fraction form
    12,096/16,692.48 = 8,372.16/x
  3. Step 3: Cross multiply
    12,096x = 16,692.48 × 8,372.16
  4. Step 4: Simplify right side
    12,096x = 139,752,113.36
  5. Step 5: Solve for x
    x = 139,752,113.36/12,096
  6. Step 6: Final answer
    x = 11,553.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.