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Finding the Fourth Proportional to 12,456.89, 17,189.93 and 7,424.45

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Solution

The fourth proportional to 12,456.89, 17,189.93 and 7,424.45 is: 10,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.89 : 17,189.93 = 7,424.45 : x
  2. Step 2: Convert to fraction form
    12,456.89/17,189.93 = 7,424.45/x
  3. Step 3: Cross multiply
    12,456.89x = 17,189.93 × 7,424.45
  4. Step 4: Simplify right side
    12,456.89x = 127,625,738.67
  5. Step 5: Solve for x
    x = 127,625,738.67/12,456.89
  6. Step 6: Final answer
    x = 10,245.39

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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.