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Finding the Fourth Proportional to 26,542.22, 39,814.74 and 6,820.92

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Solution

The fourth proportional to 26,542.22, 39,814.74 and 6,820.92 is: 10,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542.22 : 39,814.74 = 6,820.92 : x
  2. Step 2: Convert to fraction form
    26,542.22/39,814.74 = 6,820.92/x
  3. Step 3: Cross multiply
    26,542.22x = 39,814.74 × 6,820.92
  4. Step 4: Simplify right side
    26,542.22x = 271,573,156.36
  5. Step 5: Solve for x
    x = 271,573,156.36/26,542.22
  6. Step 6: Final answer
    x = 10,231.74

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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.