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Finding the Fourth Proportional to 17,757.62, 26,627.94 and 8,389.82

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Solution

The fourth proportional to 17,757.62, 26,627.94 and 8,389.82 is: 12,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.62 : 26,627.94 = 8,389.82 : x
  2. Step 2: Convert to fraction form
    17,757.62/26,627.94 = 8,389.82/x
  3. Step 3: Cross multiply
    17,757.62x = 26,627.94 × 8,389.82
  4. Step 4: Simplify right side
    17,757.62x = 223,403,623.57
  5. Step 5: Solve for x
    x = 223,403,623.57/17,757.62
  6. Step 6: Final answer
    x = 12,580.72

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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.