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Finding the Fourth Proportional to 13,255.52, 19,884.24 and 4,022.24

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Solution

The fourth proportional to 13,255.52, 19,884.24 and 4,022.24 is: 6,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,255.52 : 19,884.24 = 4,022.24 : x
  2. Step 2: Convert to fraction form
    13,255.52/19,884.24 = 4,022.24/x
  3. Step 3: Cross multiply
    13,255.52x = 19,884.24 × 4,022.24
  4. Step 4: Simplify right side
    13,255.52x = 79,979,185.50
  5. Step 5: Solve for x
    x = 79,979,185.50/13,255.52
  6. Step 6: Final answer
    x = 6,033.65

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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.