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Finding the Fourth Proportional to 14,213.22, 21,327.03 and 9,586.50

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Solution

The fourth proportional to 14,213.22, 21,327.03 and 9,586.50 is: 14,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.22 : 21,327.03 = 9,586.50 : x
  2. Step 2: Convert to fraction form
    14,213.22/21,327.03 = 9,586.50/x
  3. Step 3: Cross multiply
    14,213.22x = 21,327.03 × 9,586.50
  4. Step 4: Simplify right side
    14,213.22x = 204,451,573.10
  5. Step 5: Solve for x
    x = 204,451,573.10/14,213.22
  6. Step 6: Final answer
    x = 14,384.61

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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.