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Finding the Fourth Proportional to 10,694.60, 16,022.70 and 9,465.80

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Solution

The fourth proportional to 10,694.60, 16,022.70 and 9,465.80 is: 14,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.60 : 16,022.70 = 9,465.80 : x
  2. Step 2: Convert to fraction form
    10,694.60/16,022.70 = 9,465.80/x
  3. Step 3: Cross multiply
    10,694.60x = 16,022.70 × 9,465.80
  4. Step 4: Simplify right side
    10,694.60x = 151,667,673.66
  5. Step 5: Solve for x
    x = 151,667,673.66/10,694.60
  6. Step 6: Final answer
    x = 14,181.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.