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Finding the Fourth Proportional to 20,839.46, 31,244.07 and 9,739.94

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Solution

The fourth proportional to 20,839.46, 31,244.07 and 9,739.94 is: 14,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,839.46 : 31,244.07 = 9,739.94 : x
  2. Step 2: Convert to fraction form
    20,839.46/31,244.07 = 9,739.94/x
  3. Step 3: Cross multiply
    20,839.46x = 31,244.07 × 9,739.94
  4. Step 4: Simplify right side
    20,839.46x = 304,315,367.16
  5. Step 5: Solve for x
    x = 304,315,367.16/20,839.46
  6. Step 6: Final answer
    x = 14,602.84

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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.