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Finding the Fourth Proportional to 17,691.39, 26,546.40 and 7,837.47

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Solution

The fourth proportional to 17,691.39, 26,546.40 and 7,837.47 is: 11,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.39 : 26,546.40 = 7,837.47 : x
  2. Step 2: Convert to fraction form
    17,691.39/26,546.40 = 7,837.47/x
  3. Step 3: Cross multiply
    17,691.39x = 26,546.40 × 7,837.47
  4. Step 4: Simplify right side
    17,691.39x = 208,056,613.61
  5. Step 5: Solve for x
    x = 208,056,613.61/17,691.39
  6. Step 6: Final answer
    x = 11,760.33

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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.