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Finding the Fourth Proportional to 25,096.97, 37,637.16 and 8,452.87

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Solution

The fourth proportional to 25,096.97, 37,637.16 and 8,452.87 is: 12,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096.97 : 37,637.16 = 8,452.87 : x
  2. Step 2: Convert to fraction form
    25,096.97/37,637.16 = 8,452.87/x
  3. Step 3: Cross multiply
    25,096.97x = 37,637.16 × 8,452.87
  4. Step 4: Simplify right side
    25,096.97x = 318,142,020.65
  5. Step 5: Solve for x
    x = 318,142,020.65/25,096.97
  6. Step 6: Final answer
    x = 12,676.51

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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.