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Finding the Fourth Proportional to 17,481, 26,215.32 and 5,634.29

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Solution

The fourth proportional to 17,481, 26,215.32 and 5,634.29 is: 8,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,481 : 26,215.32 = 5,634.29 : x
  2. Step 2: Convert to fraction form
    17,481/26,215.32 = 5,634.29/x
  3. Step 3: Cross multiply
    17,481x = 26,215.32 × 5,634.29
  4. Step 4: Simplify right side
    17,481x = 147,704,584.25
  5. Step 5: Solve for x
    x = 147,704,584.25/17,481
  6. Step 6: Final answer
    x = 8,449.44

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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.