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Finding the Fourth Proportional to 25,183.57, 37,780.79 and 7,654.81

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Solution

The fourth proportional to 25,183.57, 37,780.79 and 7,654.81 is: 11,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,183.57 : 37,780.79 = 7,654.81 : x
  2. Step 2: Convert to fraction form
    25,183.57/37,780.79 = 7,654.81/x
  3. Step 3: Cross multiply
    25,183.57x = 37,780.79 × 7,654.81
  4. Step 4: Simplify right side
    25,183.57x = 289,204,769.10
  5. Step 5: Solve for x
    x = 289,204,769.10/25,183.57
  6. Step 6: Final answer
    x = 11,483.87

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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.