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Finding the Fourth Proportional to 14,491.70, 21,722.84 and 8,238.79

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Solution

The fourth proportional to 14,491.70, 21,722.84 and 8,238.79 is: 12,349.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.70 : 21,722.84 = 8,238.79 : x
  2. Step 2: Convert to fraction form
    14,491.70/21,722.84 = 8,238.79/x
  3. Step 3: Cross multiply
    14,491.70x = 21,722.84 × 8,238.79
  4. Step 4: Simplify right side
    14,491.70x = 178,969,808.35
  5. Step 5: Solve for x
    x = 178,969,808.35/14,491.70
  6. Step 6: Final answer
    x = 12,349.81

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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.