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Finding the Fourth Proportional to 19,975.95, 29,961.09 and 6,826.41

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Solution

The fourth proportional to 19,975.95, 29,961.09 and 6,826.41 is: 10,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.95 : 29,961.09 = 6,826.41 : x
  2. Step 2: Convert to fraction form
    19,975.95/29,961.09 = 6,826.41/x
  3. Step 3: Cross multiply
    19,975.95x = 29,961.09 × 6,826.41
  4. Step 4: Simplify right side
    19,975.95x = 204,526,684.39
  5. Step 5: Solve for x
    x = 204,526,684.39/19,975.95
  6. Step 6: Final answer
    x = 10,238.65

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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.