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Finding the Fourth Proportional to 17,755.62, 26,624.94 and 8,387.82

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Solution

The fourth proportional to 17,755.62, 26,624.94 and 8,387.82 is: 12,577.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,755.62 : 26,624.94 = 8,387.82 : x
  2. Step 2: Convert to fraction form
    17,755.62/26,624.94 = 8,387.82/x
  3. Step 3: Cross multiply
    17,755.62x = 26,624.94 × 8,387.82
  4. Step 4: Simplify right side
    17,755.62x = 223,325,204.23
  5. Step 5: Solve for x
    x = 223,325,204.23/17,755.62
  6. Step 6: Final answer
    x = 12,577.72

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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.