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Finding the Fourth Proportional to 17,827.26, 26,721.94 and 6,729.24

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Solution

The fourth proportional to 17,827.26, 26,721.94 and 6,729.24 is: 10,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.26 : 26,721.94 = 6,729.24 : x
  2. Step 2: Convert to fraction form
    17,827.26/26,721.94 = 6,729.24/x
  3. Step 3: Cross multiply
    17,827.26x = 26,721.94 × 6,729.24
  4. Step 4: Simplify right side
    17,827.26x = 179,818,347.53
  5. Step 5: Solve for x
    x = 179,818,347.53/17,827.26
  6. Step 6: Final answer
    x = 10,086.71

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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.