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Finding the Fourth Proportional to 20,321.54, 30,479.17 and 7,839.75

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Solution

The fourth proportional to 20,321.54, 30,479.17 and 7,839.75 is: 11,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,321.54 : 30,479.17 = 7,839.75 : x
  2. Step 2: Convert to fraction form
    20,321.54/30,479.17 = 7,839.75/x
  3. Step 3: Cross multiply
    20,321.54x = 30,479.17 × 7,839.75
  4. Step 4: Simplify right side
    20,321.54x = 238,948,901.01
  5. Step 5: Solve for x
    x = 238,948,901.01/20,321.54
  6. Step 6: Final answer
    x = 11,758.40

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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.