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Finding the Fourth Proportional to 26,405.67, 39,608.67 and 6,684.21

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Solution

The fourth proportional to 26,405.67, 39,608.67 and 6,684.21 is: 10,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.67 : 39,608.67 = 6,684.21 : x
  2. Step 2: Convert to fraction form
    26,405.67/39,608.67 = 6,684.21/x
  3. Step 3: Cross multiply
    26,405.67x = 39,608.67 × 6,684.21
  4. Step 4: Simplify right side
    26,405.67x = 264,752,668.10
  5. Step 5: Solve for x
    x = 264,752,668.10/26,405.67
  6. Step 6: Final answer
    x = 10,026.36

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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.