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Finding the Fourth Proportional to 13,649.22, 20,491.11 and 8,371.26

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Solution

The fourth proportional to 13,649.22, 20,491.11 and 8,371.26 is: 12,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.22 : 20,491.11 = 8,371.26 : x
  2. Step 2: Convert to fraction form
    13,649.22/20,491.11 = 8,371.26/x
  3. Step 3: Cross multiply
    13,649.22x = 20,491.11 × 8,371.26
  4. Step 4: Simplify right side
    13,649.22x = 171,536,409.50
  5. Step 5: Solve for x
    x = 171,536,409.50/13,649.22
  6. Step 6: Final answer
    x = 12,567.49

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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.