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Finding the Fourth Proportional to 23,296, 34,940.48 and 7,711.68

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Solution

The fourth proportional to 23,296, 34,940.48 and 7,711.68 is: 11,566.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296 : 34,940.48 = 7,711.68 : x
  2. Step 2: Convert to fraction form
    23,296/34,940.48 = 7,711.68/x
  3. Step 3: Cross multiply
    23,296x = 34,940.48 × 7,711.68
  4. Step 4: Simplify right side
    23,296x = 269,449,800.81
  5. Step 5: Solve for x
    x = 269,449,800.81/23,296
  6. Step 6: Final answer
    x = 11,566.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.