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Finding the Fourth Proportional to 11,832.60, 17,727.30 and 9,629.40

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Solution

The fourth proportional to 11,832.60, 17,727.30 and 9,629.40 is: 14,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.60 : 17,727.30 = 9,629.40 : x
  2. Step 2: Convert to fraction form
    11,832.60/17,727.30 = 9,629.40/x
  3. Step 3: Cross multiply
    11,832.60x = 17,727.30 × 9,629.40
  4. Step 4: Simplify right side
    11,832.60x = 170,703,262.62
  5. Step 5: Solve for x
    x = 170,703,262.62/11,832.60
  6. Step 6: Final answer
    x = 14,426.52

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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.