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Finding the Fourth Proportional to 20,634.82, 30,953.95 and 6,596.84

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Solution

The fourth proportional to 20,634.82, 30,953.95 and 6,596.84 is: 9,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.82 : 30,953.95 = 6,596.84 : x
  2. Step 2: Convert to fraction form
    20,634.82/30,953.95 = 6,596.84/x
  3. Step 3: Cross multiply
    20,634.82x = 30,953.95 × 6,596.84
  4. Step 4: Simplify right side
    20,634.82x = 204,198,316.41
  5. Step 5: Solve for x
    x = 204,198,316.41/20,634.82
  6. Step 6: Final answer
    x = 9,895.81

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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.