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Finding the Fourth Proportional to 17,512.78, 26,254.22 and 7,644.68

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Solution

The fourth proportional to 17,512.78, 26,254.22 and 7,644.68 is: 11,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512.78 : 26,254.22 = 7,644.68 : x
  2. Step 2: Convert to fraction form
    17,512.78/26,254.22 = 7,644.68/x
  3. Step 3: Cross multiply
    17,512.78x = 26,254.22 × 7,644.68
  4. Step 4: Simplify right side
    17,512.78x = 200,705,110.55
  5. Step 5: Solve for x
    x = 200,705,110.55/17,512.78
  6. Step 6: Final answer
    x = 11,460.49

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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.