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Finding the Fourth Proportional to 12,398.67, 18,556.49 and 10,177.43

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Solution

The fourth proportional to 12,398.67, 18,556.49 and 10,177.43 is: 15,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.67 : 18,556.49 = 10,177.43 : x
  2. Step 2: Convert to fraction form
    12,398.67/18,556.49 = 10,177.43/x
  3. Step 3: Cross multiply
    12,398.67x = 18,556.49 × 10,177.43
  4. Step 4: Simplify right side
    12,398.67x = 188,857,415.06
  5. Step 5: Solve for x
    x = 188,857,415.06/12,398.67
  6. Step 6: Final answer
    x = 15,232.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.