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Finding the Fourth Proportional to 16,852.88, 25,271 and 5,163.28

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Solution

The fourth proportional to 16,852.88, 25,271 and 5,163.28 is: 7,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.88 : 25,271 = 5,163.28 : x
  2. Step 2: Convert to fraction form
    16,852.88/25,271 = 5,163.28/x
  3. Step 3: Cross multiply
    16,852.88x = 25,271 × 5,163.28
  4. Step 4: Simplify right side
    16,852.88x = 130,481,248.88
  5. Step 5: Solve for x
    x = 130,481,248.88/16,852.88
  6. Step 6: Final answer
    x = 7,742.37

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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.