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Finding the Fourth Proportional to 26,829.50, 40,246.47 and 8,361.50

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Solution

The fourth proportional to 26,829.50, 40,246.47 and 8,361.50 is: 12,542.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829.50 : 40,246.47 = 8,361.50 : x
  2. Step 2: Convert to fraction form
    26,829.50/40,246.47 = 8,361.50/x
  3. Step 3: Cross multiply
    26,829.50x = 40,246.47 × 8,361.50
  4. Step 4: Simplify right side
    26,829.50x = 336,520,858.91
  5. Step 5: Solve for x
    x = 336,520,858.91/26,829.50
  6. Step 6: Final answer
    x = 12,542.94

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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.