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Finding the Fourth Proportional to 12,824.53, 17,699.38 and 7,519.30

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Solution

The fourth proportional to 12,824.53, 17,699.38 and 7,519.30 is: 10,377.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.53 : 17,699.38 = 7,519.30 : x
  2. Step 2: Convert to fraction form
    12,824.53/17,699.38 = 7,519.30/x
  3. Step 3: Cross multiply
    12,824.53x = 17,699.38 × 7,519.30
  4. Step 4: Simplify right side
    12,824.53x = 133,086,884.99
  5. Step 5: Solve for x
    x = 133,086,884.99/12,824.53
  6. Step 6: Final answer
    x = 10,377.53

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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.