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Finding the Fourth Proportional to 26,846.46, 40,260.57 and 10,202.49

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Solution

The fourth proportional to 26,846.46, 40,260.57 and 10,202.49 is: 15,300.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,846.46 : 40,260.57 = 10,202.49 : x
  2. Step 2: Convert to fraction form
    26,846.46/40,260.57 = 10,202.49/x
  3. Step 3: Cross multiply
    26,846.46x = 40,260.57 × 10,202.49
  4. Step 4: Simplify right side
    26,846.46x = 410,758,062.82
  5. Step 5: Solve for x
    x = 410,758,062.82/26,846.46
  6. Step 6: Final answer
    x = 15,300.27

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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.