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Finding the Fourth Proportional to 14,059.62, 21,122.24 and 8,220.33

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Solution

The fourth proportional to 14,059.62, 21,122.24 and 8,220.33 is: 12,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,059.62 : 21,122.24 = 8,220.33 : x
  2. Step 2: Convert to fraction form
    14,059.62/21,122.24 = 8,220.33/x
  3. Step 3: Cross multiply
    14,059.62x = 21,122.24 × 8,220.33
  4. Step 4: Simplify right side
    14,059.62x = 173,631,742.04
  5. Step 5: Solve for x
    x = 173,631,742.04/14,059.62
  6. Step 6: Final answer
    x = 12,349.68

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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.