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Finding the Fourth Proportional to 11,447.40, 17,138.70 and 10,151.40

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Solution

The fourth proportional to 11,447.40, 17,138.70 and 10,151.40 is: 15,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.40 : 17,138.70 = 10,151.40 : x
  2. Step 2: Convert to fraction form
    11,447.40/17,138.70 = 10,151.40/x
  3. Step 3: Cross multiply
    11,447.40x = 17,138.70 × 10,151.40
  4. Step 4: Simplify right side
    11,447.40x = 173,981,799.18
  5. Step 5: Solve for x
    x = 173,981,799.18/11,447.40
  6. Step 6: Final answer
    x = 15,198.37

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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.