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Finding the Fourth Proportional to 11,936.68, 17,785.08 and 11,266

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Solution

The fourth proportional to 11,936.68, 17,785.08 and 11,266 is: 16,785.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.68 : 17,785.08 = 11,266 : x
  2. Step 2: Convert to fraction form
    11,936.68/17,785.08 = 11,266/x
  3. Step 3: Cross multiply
    11,936.68x = 17,785.08 × 11,266
  4. Step 4: Simplify right side
    11,936.68x = 200,366,711.28
  5. Step 5: Solve for x
    x = 200,366,711.28/11,936.68
  6. Step 6: Final answer
    x = 16,785.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.