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Finding the Fourth Proportional to 17,767.50, 26,639.41 and 7,086.75

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Solution

The fourth proportional to 17,767.50, 26,639.41 and 7,086.75 is: 10,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.50 : 26,639.41 = 7,086.75 : x
  2. Step 2: Convert to fraction form
    17,767.50/26,639.41 = 7,086.75/x
  3. Step 3: Cross multiply
    17,767.50x = 26,639.41 × 7,086.75
  4. Step 4: Simplify right side
    17,767.50x = 188,786,838.82
  5. Step 5: Solve for x
    x = 188,786,838.82/17,767.50
  6. Step 6: Final answer
    x = 10,625.40

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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.