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Finding the Fourth Proportional to 17,767.50, 26,651.25 and 5,455.50

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Solution

The fourth proportional to 17,767.50, 26,651.25 and 5,455.50 is: 8,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.50 : 26,651.25 = 5,455.50 : x
  2. Step 2: Convert to fraction form
    17,767.50/26,651.25 = 5,455.50/x
  3. Step 3: Cross multiply
    17,767.50x = 26,651.25 × 5,455.50
  4. Step 4: Simplify right side
    17,767.50x = 145,395,894.38
  5. Step 5: Solve for x
    x = 145,395,894.38/17,767.50
  6. Step 6: Final answer
    x = 8,183.25

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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.