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Finding the Fourth Proportional to 11,690.68, 16,134.24 and 9,673.80

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Solution

The fourth proportional to 11,690.68, 16,134.24 and 9,673.80 is: 13,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690.68 : 16,134.24 = 9,673.80 : x
  2. Step 2: Convert to fraction form
    11,690.68/16,134.24 = 9,673.80/x
  3. Step 3: Cross multiply
    11,690.68x = 16,134.24 × 9,673.80
  4. Step 4: Simplify right side
    11,690.68x = 156,079,410.91
  5. Step 5: Solve for x
    x = 156,079,410.91/11,690.68
  6. Step 6: Final answer
    x = 13,350.76

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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.