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Finding the Fourth Proportional to 18,508.88, 27,760.44 and 6,194

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Solution

The fourth proportional to 18,508.88, 27,760.44 and 6,194 is: 9,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,508.88 : 27,760.44 = 6,194 : x
  2. Step 2: Convert to fraction form
    18,508.88/27,760.44 = 6,194/x
  3. Step 3: Cross multiply
    18,508.88x = 27,760.44 × 6,194
  4. Step 4: Simplify right side
    18,508.88x = 171,948,165.36
  5. Step 5: Solve for x
    x = 171,948,165.36/18,508.88
  6. Step 6: Final answer
    x = 9,290.04

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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.