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Finding the Fourth Proportional to 20,674.38, 31,012.53 and 6,634.98

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Solution

The fourth proportional to 20,674.38, 31,012.53 and 6,634.98 is: 9,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,674.38 : 31,012.53 = 6,634.98 : x
  2. Step 2: Convert to fraction form
    20,674.38/31,012.53 = 6,634.98/x
  3. Step 3: Cross multiply
    20,674.38x = 31,012.53 × 6,634.98
  4. Step 4: Simplify right side
    20,674.38x = 205,767,516.30
  5. Step 5: Solve for x
    x = 205,767,516.30/20,674.38
  6. Step 6: Final answer
    x = 9,952.78

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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.