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Finding the Fourth Proportional to 12,722.44, 17,557.38 and 7,057.12

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Solution

The fourth proportional to 12,722.44, 17,557.38 and 7,057.12 is: 9,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.44 : 17,557.38 = 7,057.12 : x
  2. Step 2: Convert to fraction form
    12,722.44/17,557.38 = 7,057.12/x
  3. Step 3: Cross multiply
    12,722.44x = 17,557.38 × 7,057.12
  4. Step 4: Simplify right side
    12,722.44x = 123,904,537.55
  5. Step 5: Solve for x
    x = 123,904,537.55/12,722.44
  6. Step 6: Final answer
    x = 9,739.05

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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.