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Finding the Fourth Proportional to 26,489, 39,738.36 and 12,638

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Solution

The fourth proportional to 26,489, 39,738.36 and 12,638 is: 18,959.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,489 : 39,738.36 = 12,638 : x
  2. Step 2: Convert to fraction form
    26,489/39,738.36 = 12,638/x
  3. Step 3: Cross multiply
    26,489x = 39,738.36 × 12,638
  4. Step 4: Simplify right side
    26,489x = 502,213,393.68
  5. Step 5: Solve for x
    x = 502,213,393.68/26,489
  6. Step 6: Final answer
    x = 18,959.32

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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.