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Finding the Fourth Proportional to 25,383.35, 38,079.89 and 7,850.09

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Solution

The fourth proportional to 25,383.35, 38,079.89 and 7,850.09 is: 11,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383.35 : 38,079.89 = 7,850.09 : x
  2. Step 2: Convert to fraction form
    25,383.35/38,079.89 = 7,850.09/x
  3. Step 3: Cross multiply
    25,383.35x = 38,079.89 × 7,850.09
  4. Step 4: Simplify right side
    25,383.35x = 298,930,334.04
  5. Step 5: Solve for x
    x = 298,930,334.04/25,383.35
  6. Step 6: Final answer
    x = 11,776.63

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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.