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Finding the Fourth Proportional to 17,546.64, 26,310.20 and 5,853.48

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Solution

The fourth proportional to 17,546.64, 26,310.20 and 5,853.48 is: 8,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.64 : 26,310.20 = 5,853.48 : x
  2. Step 2: Convert to fraction form
    17,546.64/26,310.20 = 5,853.48/x
  3. Step 3: Cross multiply
    17,546.64x = 26,310.20 × 5,853.48
  4. Step 4: Simplify right side
    17,546.64x = 154,006,229.50
  5. Step 5: Solve for x
    x = 154,006,229.50/17,546.64
  6. Step 6: Final answer
    x = 8,776.96

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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.