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Finding the Fourth Proportional to 23,293.69, 34,942.35 and 7,711.31

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Solution

The fourth proportional to 23,293.69, 34,942.35 and 7,711.31 is: 11,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,293.69 : 34,942.35 = 7,711.31 : x
  2. Step 2: Convert to fraction form
    23,293.69/34,942.35 = 7,711.31/x
  3. Step 3: Cross multiply
    23,293.69x = 34,942.35 × 7,711.31
  4. Step 4: Simplify right side
    23,293.69x = 269,451,409.25
  5. Step 5: Solve for x
    x = 269,451,409.25/23,293.69
  6. Step 6: Final answer
    x = 11,567.57

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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.