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Finding the Fourth Proportional to 17,711.96, 26,549.71 and 7,855.88

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Solution

The fourth proportional to 17,711.96, 26,549.71 and 7,855.88 is: 11,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.96 : 26,549.71 = 7,855.88 : x
  2. Step 2: Convert to fraction form
    17,711.96/26,549.71 = 7,855.88/x
  3. Step 3: Cross multiply
    17,711.96x = 26,549.71 × 7,855.88
  4. Step 4: Simplify right side
    17,711.96x = 208,571,183.41
  5. Step 5: Solve for x
    x = 208,571,183.41/17,711.96
  6. Step 6: Final answer
    x = 11,775.73

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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.