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Finding the Fourth Proportional to 17,206.80, 23,745.60 and 10,132.80

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Solution

The fourth proportional to 17,206.80, 23,745.60 and 10,132.80 is: 13,983.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.80 : 23,745.60 = 10,132.80 : x
  2. Step 2: Convert to fraction form
    17,206.80/23,745.60 = 10,132.80/x
  3. Step 3: Cross multiply
    17,206.80x = 23,745.60 × 10,132.80
  4. Step 4: Simplify right side
    17,206.80x = 240,609,415.68
  5. Step 5: Solve for x
    x = 240,609,415.68/17,206.80
  6. Step 6: Final answer
    x = 13,983.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.