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Finding the Fourth Proportional to 17,781.56, 26,664.96 and 6,682.52

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Solution

The fourth proportional to 17,781.56, 26,664.96 and 6,682.52 is: 10,021.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.56 : 26,664.96 = 6,682.52 : x
  2. Step 2: Convert to fraction form
    17,781.56/26,664.96 = 6,682.52/x
  3. Step 3: Cross multiply
    17,781.56x = 26,664.96 × 6,682.52
  4. Step 4: Simplify right side
    17,781.56x = 178,189,128.50
  5. Step 5: Solve for x
    x = 178,189,128.50/17,781.56
  6. Step 6: Final answer
    x = 10,021.01

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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.