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Finding the Fourth Proportional to 17,832.96, 26,748.80 and 6,739.20

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Solution

The fourth proportional to 17,832.96, 26,748.80 and 6,739.20 is: 10,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.96 : 26,748.80 = 6,739.20 : x
  2. Step 2: Convert to fraction form
    17,832.96/26,748.80 = 6,739.20/x
  3. Step 3: Cross multiply
    17,832.96x = 26,748.80 × 6,739.20
  4. Step 4: Simplify right side
    17,832.96x = 180,265,512.96
  5. Step 5: Solve for x
    x = 180,265,512.96/17,832.96
  6. Step 6: Final answer
    x = 10,108.56

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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.