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Finding the Fourth Proportional to 13,883.01, 20,824.52 and 4,022.30

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Solution

The fourth proportional to 13,883.01, 20,824.52 and 4,022.30 is: 6,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.01 : 20,824.52 = 4,022.30 : x
  2. Step 2: Convert to fraction form
    13,883.01/20,824.52 = 4,022.30/x
  3. Step 3: Cross multiply
    13,883.01x = 20,824.52 × 4,022.30
  4. Step 4: Simplify right side
    13,883.01x = 83,762,342.56
  5. Step 5: Solve for x
    x = 83,762,342.56/13,883.01
  6. Step 6: Final answer
    x = 6,033.44

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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.