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Finding the Fourth Proportional to 12,504.80, 17,262.48 and 7,198.56

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Solution

The fourth proportional to 12,504.80, 17,262.48 and 7,198.56 is: 9,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.80 : 17,262.48 = 7,198.56 : x
  2. Step 2: Convert to fraction form
    12,504.80/17,262.48 = 7,198.56/x
  3. Step 3: Cross multiply
    12,504.80x = 17,262.48 × 7,198.56
  4. Step 4: Simplify right side
    12,504.80x = 124,264,998.03
  5. Step 5: Solve for x
    x = 124,264,998.03/12,504.80
  6. Step 6: Final answer
    x = 9,937.38

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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.