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Finding the Fourth Proportional to 18,633.56, 27,949.98 and 7,539.80

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Solution

The fourth proportional to 18,633.56, 27,949.98 and 7,539.80 is: 11,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,633.56 : 27,949.98 = 7,539.80 : x
  2. Step 2: Convert to fraction form
    18,633.56/27,949.98 = 7,539.80/x
  3. Step 3: Cross multiply
    18,633.56x = 27,949.98 × 7,539.80
  4. Step 4: Simplify right side
    18,633.56x = 210,737,259.20
  5. Step 5: Solve for x
    x = 210,737,259.20/18,633.56
  6. Step 6: Final answer
    x = 11,309.55

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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.