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Finding the Fourth Proportional to 17,662.75, 26,494.19 and 5,350.75

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Solution

The fourth proportional to 17,662.75, 26,494.19 and 5,350.75 is: 8,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,662.75 : 26,494.19 = 5,350.75 : x
  2. Step 2: Convert to fraction form
    17,662.75/26,494.19 = 5,350.75/x
  3. Step 3: Cross multiply
    17,662.75x = 26,494.19 × 5,350.75
  4. Step 4: Simplify right side
    17,662.75x = 141,763,787.14
  5. Step 5: Solve for x
    x = 141,763,787.14/17,662.75
  6. Step 6: Final answer
    x = 8,026.14

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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.