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Finding the Fourth Proportional to 17,900.32, 24,711.42 and 11,189.68

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Solution

The fourth proportional to 17,900.32, 24,711.42 and 11,189.68 is: 15,447.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,900.32 : 24,711.42 = 11,189.68 : x
  2. Step 2: Convert to fraction form
    17,900.32/24,711.42 = 11,189.68/x
  3. Step 3: Cross multiply
    17,900.32x = 24,711.42 × 11,189.68
  4. Step 4: Simplify right side
    17,900.32x = 276,512,882.15
  5. Step 5: Solve for x
    x = 276,512,882.15/17,900.32
  6. Step 6: Final answer
    x = 15,447.37

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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.