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Finding the Fourth Proportional to 26,912.10, 40,368 and 12,829.44

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Solution

The fourth proportional to 26,912.10, 40,368 and 12,829.44 is: 19,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,912.10 : 40,368 = 12,829.44 : x
  2. Step 2: Convert to fraction form
    26,912.10/40,368 = 12,829.44/x
  3. Step 3: Cross multiply
    26,912.10x = 40,368 × 12,829.44
  4. Step 4: Simplify right side
    26,912.10x = 517,898,833.92
  5. Step 5: Solve for x
    x = 517,898,833.92/26,912.10
  6. Step 6: Final answer
    x = 19,244.09

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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.