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Finding the Fourth Proportional to 26,311.20, 39,447.36 and 12,444

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Solution

The fourth proportional to 26,311.20, 39,447.36 and 12,444 is: 18,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311.20 : 39,447.36 = 12,444 : x
  2. Step 2: Convert to fraction form
    26,311.20/39,447.36 = 12,444/x
  3. Step 3: Cross multiply
    26,311.20x = 39,447.36 × 12,444
  4. Step 4: Simplify right side
    26,311.20x = 490,882,947.84
  5. Step 5: Solve for x
    x = 490,882,947.84/26,311.20
  6. Step 6: Final answer
    x = 18,656.81

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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.