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Finding the Fourth Proportional to 18,580.82, 27,872.98 and 6,100.88

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Solution

The fourth proportional to 18,580.82, 27,872.98 and 6,100.88 is: 9,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.82 : 27,872.98 = 6,100.88 : x
  2. Step 2: Convert to fraction form
    18,580.82/27,872.98 = 6,100.88/x
  3. Step 3: Cross multiply
    18,580.82x = 27,872.98 × 6,100.88
  4. Step 4: Simplify right side
    18,580.82x = 170,049,551.61
  5. Step 5: Solve for x
    x = 170,049,551.61/18,580.82
  6. Step 6: Final answer
    x = 9,151.89

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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.