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Finding the Fourth Proportional to 26,501.94, 39,754.26 and 6,780.66

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Solution

The fourth proportional to 26,501.94, 39,754.26 and 6,780.66 is: 10,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,501.94 : 39,754.26 = 6,780.66 : x
  2. Step 2: Convert to fraction form
    26,501.94/39,754.26 = 6,780.66/x
  3. Step 3: Cross multiply
    26,501.94x = 39,754.26 × 6,780.66
  4. Step 4: Simplify right side
    26,501.94x = 269,560,120.61
  5. Step 5: Solve for x
    x = 269,560,120.61/26,501.94
  6. Step 6: Final answer
    x = 10,171.34

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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.