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Finding the Fourth Proportional to 12,456.54, 17,189.38 and 7,078.26

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Solution

The fourth proportional to 12,456.54, 17,189.38 and 7,078.26 is: 9,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.54 : 17,189.38 = 7,078.26 : x
  2. Step 2: Convert to fraction form
    12,456.54/17,189.38 = 7,078.26/x
  3. Step 3: Cross multiply
    12,456.54x = 17,189.38 × 7,078.26
  4. Step 4: Simplify right side
    12,456.54x = 121,670,900.88
  5. Step 5: Solve for x
    x = 121,670,900.88/12,456.54
  6. Step 6: Final answer
    x = 9,767.63

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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.