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Finding the Fourth Proportional to 12,141.10, 16,755.69 and 6,835.60

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Solution

The fourth proportional to 12,141.10, 16,755.69 and 6,835.60 is: 9,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141.10 : 16,755.69 = 6,835.60 : x
  2. Step 2: Convert to fraction form
    12,141.10/16,755.69 = 6,835.60/x
  3. Step 3: Cross multiply
    12,141.10x = 16,755.69 × 6,835.60
  4. Step 4: Simplify right side
    12,141.10x = 114,535,194.56
  5. Step 5: Solve for x
    x = 114,535,194.56/12,141.10
  6. Step 6: Final answer
    x = 9,433.68

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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.