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Finding the Fourth Proportional to 13,040.58, 17,996.90 and 7,375.36

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Solution

The fourth proportional to 13,040.58, 17,996.90 and 7,375.36 is: 10,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.58 : 17,996.90 = 7,375.36 : x
  2. Step 2: Convert to fraction form
    13,040.58/17,996.90 = 7,375.36/x
  3. Step 3: Cross multiply
    13,040.58x = 17,996.90 × 7,375.36
  4. Step 4: Simplify right side
    13,040.58x = 132,733,616.38
  5. Step 5: Solve for x
    x = 132,733,616.38/13,040.58
  6. Step 6: Final answer
    x = 10,178.51

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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.