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Finding the Fourth Proportional to 20,984.80, 31,449.38 and 7,823.92

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Solution

The fourth proportional to 20,984.80, 31,449.38 and 7,823.92 is: 11,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.80 : 31,449.38 = 7,823.92 : x
  2. Step 2: Convert to fraction form
    20,984.80/31,449.38 = 7,823.92/x
  3. Step 3: Cross multiply
    20,984.80x = 31,449.38 × 7,823.92
  4. Step 4: Simplify right side
    20,984.80x = 246,057,433.17
  5. Step 5: Solve for x
    x = 246,057,433.17/20,984.80
  6. Step 6: Final answer
    x = 11,725.51

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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.