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Finding the Fourth Proportional to 25,274.70, 37,910.52 and 7,744.50

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Solution

The fourth proportional to 25,274.70, 37,910.52 and 7,744.50 is: 11,616.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274.70 : 37,910.52 = 7,744.50 : x
  2. Step 2: Convert to fraction form
    25,274.70/37,910.52 = 7,744.50/x
  3. Step 3: Cross multiply
    25,274.70x = 37,910.52 × 7,744.50
  4. Step 4: Simplify right side
    25,274.70x = 293,598,022.14
  5. Step 5: Solve for x
    x = 293,598,022.14/25,274.70
  6. Step 6: Final answer
    x = 11,616.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.