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Finding the Fourth Proportional to 25,105.38, 37,676.94 and 9,324.96

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Solution

The fourth proportional to 25,105.38, 37,676.94 and 9,324.96 is: 13,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105.38 : 37,676.94 = 9,324.96 : x
  2. Step 2: Convert to fraction form
    25,105.38/37,676.94 = 9,324.96/x
  3. Step 3: Cross multiply
    25,105.38x = 37,676.94 × 9,324.96
  4. Step 4: Simplify right side
    25,105.38x = 351,335,958.42
  5. Step 5: Solve for x
    x = 351,335,958.42/25,105.38
  6. Step 6: Final answer
    x = 13,994.45

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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.