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Finding the Fourth Proportional to 17,876.82, 26,811.42 and 6,029.52

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Solution

The fourth proportional to 17,876.82, 26,811.42 and 6,029.52 is: 9,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876.82 : 26,811.42 = 6,029.52 : x
  2. Step 2: Convert to fraction form
    17,876.82/26,811.42 = 6,029.52/x
  3. Step 3: Cross multiply
    17,876.82x = 26,811.42 × 6,029.52
  4. Step 4: Simplify right side
    17,876.82x = 161,659,993.12
  5. Step 5: Solve for x
    x = 161,659,993.12/17,876.82
  6. Step 6: Final answer
    x = 9,042.99

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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.