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Finding the Fourth Proportional to 12,353.82, 17,050.27 and 7,576.42

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Solution

The fourth proportional to 12,353.82, 17,050.27 and 7,576.42 is: 10,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.82 : 17,050.27 = 7,576.42 : x
  2. Step 2: Convert to fraction form
    12,353.82/17,050.27 = 7,576.42/x
  3. Step 3: Cross multiply
    12,353.82x = 17,050.27 × 7,576.42
  4. Step 4: Simplify right side
    12,353.82x = 129,179,921.38
  5. Step 5: Solve for x
    x = 129,179,921.38/12,353.82
  6. Step 6: Final answer
    x = 10,456.68

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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.