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Finding the Fourth Proportional to 12,142.12, 16,755.94 and 6,836.92

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Solution

The fourth proportional to 12,142.12, 16,755.94 and 6,836.92 is: 9,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.12 : 16,755.94 = 6,836.92 : x
  2. Step 2: Convert to fraction form
    12,142.12/16,755.94 = 6,836.92/x
  3. Step 3: Cross multiply
    12,142.12x = 16,755.94 × 6,836.92
  4. Step 4: Simplify right side
    12,142.12x = 114,559,021.30
  5. Step 5: Solve for x
    x = 114,559,021.30/12,142.12
  6. Step 6: Final answer
    x = 9,434.85

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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.