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Finding the Fourth Proportional to 26,410.50, 39,587.82 and 9,759.84

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Solution

The fourth proportional to 26,410.50, 39,587.82 and 9,759.84 is: 14,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410.50 : 39,587.82 = 9,759.84 : x
  2. Step 2: Convert to fraction form
    26,410.50/39,587.82 = 9,759.84/x
  3. Step 3: Cross multiply
    26,410.50x = 39,587.82 × 9,759.84
  4. Step 4: Simplify right side
    26,410.50x = 386,370,789.15
  5. Step 5: Solve for x
    x = 386,370,789.15/26,410.50
  6. Step 6: Final answer
    x = 14,629.44

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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.