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Finding the Fourth Proportional to 25,163.42, 37,750.57 and 7,634.57

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Solution

The fourth proportional to 25,163.42, 37,750.57 and 7,634.57 is: 11,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163.42 : 37,750.57 = 7,634.57 : x
  2. Step 2: Convert to fraction form
    25,163.42/37,750.57 = 7,634.57/x
  3. Step 3: Cross multiply
    25,163.42x = 37,750.57 × 7,634.57
  4. Step 4: Simplify right side
    25,163.42x = 288,209,161.37
  5. Step 5: Solve for x
    x = 288,209,161.37/25,163.42
  6. Step 6: Final answer
    x = 11,453.50

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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.