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Finding the Fourth Proportional to 17,682.82, 26,527.95 and 5,201.80

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Solution

The fourth proportional to 17,682.82, 26,527.95 and 5,201.80 is: 7,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.82 : 26,527.95 = 5,201.80 : x
  2. Step 2: Convert to fraction form
    17,682.82/26,527.95 = 5,201.80/x
  3. Step 3: Cross multiply
    17,682.82x = 26,527.95 × 5,201.80
  4. Step 4: Simplify right side
    17,682.82x = 137,993,023.99
  5. Step 5: Solve for x
    x = 137,993,023.99/17,682.82
  6. Step 6: Final answer
    x = 7,803.79

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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.