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Finding the Fourth Proportional to 18,229.24, 27,312.36 and 14,234.50

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Solution

The fourth proportional to 18,229.24, 27,312.36 and 14,234.50 is: 21,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,229.24 : 27,312.36 = 14,234.50 : x
  2. Step 2: Convert to fraction form
    18,229.24/27,312.36 = 14,234.50/x
  3. Step 3: Cross multiply
    18,229.24x = 27,312.36 × 14,234.50
  4. Step 4: Simplify right side
    18,229.24x = 388,777,788.42
  5. Step 5: Solve for x
    x = 388,777,788.42/18,229.24
  6. Step 6: Final answer
    x = 21,327.15

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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.