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Finding the Fourth Proportional to 26,262.26, 39,393.32 and 6,540.82

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Solution

The fourth proportional to 26,262.26, 39,393.32 and 6,540.82 is: 9,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,262.26 : 39,393.32 = 6,540.82 : x
  2. Step 2: Convert to fraction form
    26,262.26/39,393.32 = 6,540.82/x
  3. Step 3: Cross multiply
    26,262.26x = 39,393.32 × 6,540.82
  4. Step 4: Simplify right side
    26,262.26x = 257,664,615.32
  5. Step 5: Solve for x
    x = 257,664,615.32/26,262.26
  6. Step 6: Final answer
    x = 9,811.21

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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.