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Finding the Fourth Proportional to 12,646.09, 17,448.10 and 8,170.03

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Solution

The fourth proportional to 12,646.09, 17,448.10 and 8,170.03 is: 11,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.09 : 17,448.10 = 8,170.03 : x
  2. Step 2: Convert to fraction form
    12,646.09/17,448.10 = 8,170.03/x
  3. Step 3: Cross multiply
    12,646.09x = 17,448.10 × 8,170.03
  4. Step 4: Simplify right side
    12,646.09x = 142,551,500.44
  5. Step 5: Solve for x
    x = 142,551,500.44/12,646.09
  6. Step 6: Final answer
    x = 11,272.38

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Why These Related Problems?

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