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Finding the Fourth Proportional to 12,436.69, 17,174.03 and 7,900.83

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Solution

The fourth proportional to 12,436.69, 17,174.03 and 7,900.83 is: 10,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.69 : 17,174.03 = 7,900.83 : x
  2. Step 2: Convert to fraction form
    12,436.69/17,174.03 = 7,900.83/x
  3. Step 3: Cross multiply
    12,436.69x = 17,174.03 × 7,900.83
  4. Step 4: Simplify right side
    12,436.69x = 135,689,166.91
  5. Step 5: Solve for x
    x = 135,689,166.91/12,436.69
  6. Step 6: Final answer
    x = 10,910.39

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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.