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Finding the Fourth Proportional to 23,735.26, 35,604.92 and 6,205.07

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Solution

The fourth proportional to 23,735.26, 35,604.92 and 6,205.07 is: 9,308.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,735.26 : 35,604.92 = 6,205.07 : x
  2. Step 2: Convert to fraction form
    23,735.26/35,604.92 = 6,205.07/x
  3. Step 3: Cross multiply
    23,735.26x = 35,604.92 × 6,205.07
  4. Step 4: Simplify right side
    23,735.26x = 220,931,020.94
  5. Step 5: Solve for x
    x = 220,931,020.94/23,735.26
  6. Step 6: Final answer
    x = 9,308.14

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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.