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Finding the Fourth Proportional to 17,723.27, 26,559.82 and 9,829.26

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Solution

The fourth proportional to 17,723.27, 26,559.82 and 9,829.26 is: 14,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.27 : 26,559.82 = 9,829.26 : x
  2. Step 2: Convert to fraction form
    17,723.27/26,559.82 = 9,829.26/x
  3. Step 3: Cross multiply
    17,723.27x = 26,559.82 × 9,829.26
  4. Step 4: Simplify right side
    17,723.27x = 261,063,376.33
  5. Step 5: Solve for x
    x = 261,063,376.33/17,723.27
  6. Step 6: Final answer
    x = 14,729.98

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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.