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Finding the Fourth Proportional to 11,660.59, 17,476.26 and 9,185.64

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Solution

The fourth proportional to 11,660.59, 17,476.26 and 9,185.64 is: 13,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.59 : 17,476.26 = 9,185.64 : x
  2. Step 2: Convert to fraction form
    11,660.59/17,476.26 = 9,185.64/x
  3. Step 3: Cross multiply
    11,660.59x = 17,476.26 × 9,185.64
  4. Step 4: Simplify right side
    11,660.59x = 160,530,532.92
  5. Step 5: Solve for x
    x = 160,530,532.92/11,660.59
  6. Step 6: Final answer
    x = 13,766.93

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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.