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Finding the Fourth Proportional to 17,714, 26,571 and 6,026.96

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Solution

The fourth proportional to 17,714, 26,571 and 6,026.96 is: 9,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714 : 26,571 = 6,026.96 : x
  2. Step 2: Convert to fraction form
    17,714/26,571 = 6,026.96/x
  3. Step 3: Cross multiply
    17,714x = 26,571 × 6,026.96
  4. Step 4: Simplify right side
    17,714x = 160,142,354.16
  5. Step 5: Solve for x
    x = 160,142,354.16/17,714
  6. Step 6: Final answer
    x = 9,040.44

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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.