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Finding the Fourth Proportional to 17,833.86, 26,753.83 and 6,144.34

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Solution

The fourth proportional to 17,833.86, 26,753.83 and 6,144.34 is: 9,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.86 : 26,753.83 = 6,144.34 : x
  2. Step 2: Convert to fraction form
    17,833.86/26,753.83 = 6,144.34/x
  3. Step 3: Cross multiply
    17,833.86x = 26,753.83 × 6,144.34
  4. Step 4: Simplify right side
    17,833.86x = 164,384,627.82
  5. Step 5: Solve for x
    x = 164,384,627.82/17,833.86
  6. Step 6: Final answer
    x = 9,217.56

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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.