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Finding the Fourth Proportional to 17,674.75, 26,512.17 and 5,362.75

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Solution

The fourth proportional to 17,674.75, 26,512.17 and 5,362.75 is: 8,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.75 : 26,512.17 = 5,362.75 : x
  2. Step 2: Convert to fraction form
    17,674.75/26,512.17 = 5,362.75/x
  3. Step 3: Cross multiply
    17,674.75x = 26,512.17 × 5,362.75
  4. Step 4: Simplify right side
    17,674.75x = 142,178,139.67
  5. Step 5: Solve for x
    x = 142,178,139.67/17,674.75
  6. Step 6: Final answer
    x = 8,044.14

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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.