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Finding the Fourth Proportional to 25,274.70, 37,912.14 and 7,744.68

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Solution

The fourth proportional to 25,274.70, 37,912.14 and 7,744.68 is: 11,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.70 : 37,912.14 = 7,744.68 : x
  2. Step 2: Convert to fraction form
    25,274.70/37,912.14 = 7,744.68/x
  3. Step 3: Cross multiply
    25,274.70x = 37,912.14 × 7,744.68
  4. Step 4: Simplify right side
    25,274.70x = 293,617,392.42
  5. Step 5: Solve for x
    x = 293,617,392.42/25,274.70
  6. Step 6: Final answer
    x = 11,617.05

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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.