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Finding the Fourth Proportional to 12,114.34, 16,765.05 and 11,822.98

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Solution

The fourth proportional to 12,114.34, 16,765.05 and 11,822.98 is: 16,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.34 : 16,765.05 = 11,822.98 : x
  2. Step 2: Convert to fraction form
    12,114.34/16,765.05 = 11,822.98/x
  3. Step 3: Cross multiply
    12,114.34x = 16,765.05 × 11,822.98
  4. Step 4: Simplify right side
    12,114.34x = 198,212,850.85
  5. Step 5: Solve for x
    x = 198,212,850.85/12,114.34
  6. Step 6: Final answer
    x = 16,361.84

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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.