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Finding the Fourth Proportional to 17,727.58, 26,596.31 and 7,733.22

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Solution

The fourth proportional to 17,727.58, 26,596.31 and 7,733.22 is: 11,601.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.58 : 26,596.31 = 7,733.22 : x
  2. Step 2: Convert to fraction form
    17,727.58/26,596.31 = 7,733.22/x
  3. Step 3: Cross multiply
    17,727.58x = 26,596.31 × 7,733.22
  4. Step 4: Simplify right side
    17,727.58x = 205,675,116.42
  5. Step 5: Solve for x
    x = 205,675,116.42/17,727.58
  6. Step 6: Final answer
    x = 11,601.98

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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.