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Finding the Fourth Proportional to 17,023.86, 25,542.81 and 7,531.19

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Solution

The fourth proportional to 17,023.86, 25,542.81 and 7,531.19 is: 11,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,023.86 : 25,542.81 = 7,531.19 : x
  2. Step 2: Convert to fraction form
    17,023.86/25,542.81 = 7,531.19/x
  3. Step 3: Cross multiply
    17,023.86x = 25,542.81 × 7,531.19
  4. Step 4: Simplify right side
    17,023.86x = 192,367,723.32
  5. Step 5: Solve for x
    x = 192,367,723.32/17,023.86
  6. Step 6: Final answer
    x = 11,299.89

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Why These Related Problems?

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