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Finding the Fourth Proportional to 17,832.72, 26,753.76 and 6,146.80

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Solution

The fourth proportional to 17,832.72, 26,753.76 and 6,146.80 is: 9,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.72 : 26,753.76 = 6,146.80 : x
  2. Step 2: Convert to fraction form
    17,832.72/26,753.76 = 6,146.80/x
  3. Step 3: Cross multiply
    17,832.72x = 26,753.76 × 6,146.80
  4. Step 4: Simplify right side
    17,832.72x = 164,450,011.97
  5. Step 5: Solve for x
    x = 164,450,011.97/17,832.72
  6. Step 6: Final answer
    x = 9,221.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.