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Finding the Fourth Proportional to 12,649.35, 17,453.84 and 8,172.21

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Solution

The fourth proportional to 12,649.35, 17,453.84 and 8,172.21 is: 11,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.35 : 17,453.84 = 8,172.21 : x
  2. Step 2: Convert to fraction form
    12,649.35/17,453.84 = 8,172.21/x
  3. Step 3: Cross multiply
    12,649.35x = 17,453.84 × 8,172.21
  4. Step 4: Simplify right side
    12,649.35x = 142,636,404.93
  5. Step 5: Solve for x
    x = 142,636,404.93/12,649.35
  6. Step 6: Final answer
    x = 11,276.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.