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Finding the Fourth Proportional to 13,710.26, 20,467.99 and 13,224.26

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Solution

The fourth proportional to 13,710.26, 20,467.99 and 13,224.26 is: 19,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.26 : 20,467.99 = 13,224.26 : x
  2. Step 2: Convert to fraction form
    13,710.26/20,467.99 = 13,224.26/x
  3. Step 3: Cross multiply
    13,710.26x = 20,467.99 × 13,224.26
  4. Step 4: Simplify right side
    13,710.26x = 270,674,021.44
  5. Step 5: Solve for x
    x = 270,674,021.44/13,710.26
  6. Step 6: Final answer
    x = 19,742.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.