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Finding the Fourth Proportional to 17,889.14, 26,841.31 and 9,567

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Solution

The fourth proportional to 17,889.14, 26,841.31 and 9,567 is: 14,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.14 : 26,841.31 = 9,567 : x
  2. Step 2: Convert to fraction form
    17,889.14/26,841.31 = 9,567/x
  3. Step 3: Cross multiply
    17,889.14x = 26,841.31 × 9,567
  4. Step 4: Simplify right side
    17,889.14x = 256,790,788.85
  5. Step 5: Solve for x
    x = 256,790,788.85/17,889.14
  6. Step 6: Final answer
    x = 14,354.56

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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.