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Finding the Fourth Proportional to 18,524.50, 27,737.44 and 9,624.02

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Solution

The fourth proportional to 18,524.50, 27,737.44 and 9,624.02 is: 14,410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.50 : 27,737.44 = 9,624.02 : x
  2. Step 2: Convert to fraction form
    18,524.50/27,737.44 = 9,624.02/x
  3. Step 3: Cross multiply
    18,524.50x = 27,737.44 × 9,624.02
  4. Step 4: Simplify right side
    18,524.50x = 266,945,514.56
  5. Step 5: Solve for x
    x = 266,945,514.56/18,524.50
  6. Step 6: Final answer
    x = 14,410.41

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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.