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Finding the Fourth Proportional to 25,884.84, 38,828.14 and 7,163.31

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Solution

The fourth proportional to 25,884.84, 38,828.14 and 7,163.31 is: 10,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,884.84 : 38,828.14 = 7,163.31 : x
  2. Step 2: Convert to fraction form
    25,884.84/38,828.14 = 7,163.31/x
  3. Step 3: Cross multiply
    25,884.84x = 38,828.14 × 7,163.31
  4. Step 4: Simplify right side
    25,884.84x = 278,138,131.24
  5. Step 5: Solve for x
    x = 278,138,131.24/25,884.84
  6. Step 6: Final answer
    x = 10,745.21

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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.