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Finding the Fourth Proportional to 12,649.11, 17,461.40 and 8,175.03

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Solution

The fourth proportional to 12,649.11, 17,461.40 and 8,175.03 is: 11,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.11 : 17,461.40 = 8,175.03 : x
  2. Step 2: Convert to fraction form
    12,649.11/17,461.40 = 8,175.03/x
  3. Step 3: Cross multiply
    12,649.11x = 17,461.40 × 8,175.03
  4. Step 4: Simplify right side
    12,649.11x = 142,747,427.97
  5. Step 5: Solve for x
    x = 142,747,427.97/12,649.11
  6. Step 6: Final answer
    x = 11,285.18

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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.