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Finding the Fourth Proportional to 25,727.36, 38,593.92 and 8,193.12

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Solution

The fourth proportional to 25,727.36, 38,593.92 and 8,193.12 is: 12,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,727.36 : 38,593.92 = 8,193.12 : x
  2. Step 2: Convert to fraction form
    25,727.36/38,593.92 = 8,193.12/x
  3. Step 3: Cross multiply
    25,727.36x = 38,593.92 × 8,193.12
  4. Step 4: Simplify right side
    25,727.36x = 316,204,617.83
  5. Step 5: Solve for x
    x = 316,204,617.83/25,727.36
  6. Step 6: Final answer
    x = 12,290.60

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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.