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Finding the Fourth Proportional to 26,538.28, 39,808.86 and 8,768.20

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Solution

The fourth proportional to 26,538.28, 39,808.86 and 8,768.20 is: 13,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.28 : 39,808.86 = 8,768.20 : x
  2. Step 2: Convert to fraction form
    26,538.28/39,808.86 = 8,768.20/x
  3. Step 3: Cross multiply
    26,538.28x = 39,808.86 × 8,768.20
  4. Step 4: Simplify right side
    26,538.28x = 349,052,046.25
  5. Step 5: Solve for x
    x = 349,052,046.25/26,538.28
  6. Step 6: Final answer
    x = 13,152.78

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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.