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Finding the Fourth Proportional to 12,142.40, 16,755.54 and 6,836.90

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Solution

The fourth proportional to 12,142.40, 16,755.54 and 6,836.90 is: 9,434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.40 : 16,755.54 = 6,836.90 : x
  2. Step 2: Convert to fraction form
    12,142.40/16,755.54 = 6,836.90/x
  3. Step 3: Cross multiply
    12,142.40x = 16,755.54 × 6,836.90
  4. Step 4: Simplify right side
    12,142.40x = 114,555,951.43
  5. Step 5: Solve for x
    x = 114,555,951.43/12,142.40
  6. Step 6: Final answer
    x = 9,434.37

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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.