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Finding the Fourth Proportional to 26,509.93, 39,761.89 and 6,788.63

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Solution

The fourth proportional to 26,509.93, 39,761.89 and 6,788.63 is: 10,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.93 : 39,761.89 = 6,788.63 : x
  2. Step 2: Convert to fraction form
    26,509.93/39,761.89 = 6,788.63/x
  3. Step 3: Cross multiply
    26,509.93x = 39,761.89 × 6,788.63
  4. Step 4: Simplify right side
    26,509.93x = 269,928,759.31
  5. Step 5: Solve for x
    x = 269,928,759.31/26,509.93
  6. Step 6: Final answer
    x = 10,182.18

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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.