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Finding the Fourth Proportional to 17,883.72, 26,830.38 and 6,196.95

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Solution

The fourth proportional to 17,883.72, 26,830.38 and 6,196.95 is: 9,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,883.72 : 26,830.38 = 6,196.95 : x
  2. Step 2: Convert to fraction form
    17,883.72/26,830.38 = 6,196.95/x
  3. Step 3: Cross multiply
    17,883.72x = 26,830.38 × 6,196.95
  4. Step 4: Simplify right side
    17,883.72x = 166,266,523.34
  5. Step 5: Solve for x
    x = 166,266,523.34/17,883.72
  6. Step 6: Final answer
    x = 9,297.09

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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.