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Finding the Fourth Proportional to 23,308.80, 34,976 and 10,996.48

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Solution

The fourth proportional to 23,308.80, 34,976 and 10,996.48 is: 16,500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.80 : 34,976 = 10,996.48 : x
  2. Step 2: Convert to fraction form
    23,308.80/34,976 = 10,996.48/x
  3. Step 3: Cross multiply
    23,308.80x = 34,976 × 10,996.48
  4. Step 4: Simplify right side
    23,308.80x = 384,612,884.48
  5. Step 5: Solve for x
    x = 384,612,884.48/23,308.80
  6. Step 6: Final answer
    x = 16,500.76

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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.