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Finding the Fourth Proportional to 12,407.68, 17,122.56 and 7,375.36

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Solution

The fourth proportional to 12,407.68, 17,122.56 and 7,375.36 is: 10,177.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.68 : 17,122.56 = 7,375.36 : x
  2. Step 2: Convert to fraction form
    12,407.68/17,122.56 = 7,375.36/x
  3. Step 3: Cross multiply
    12,407.68x = 17,122.56 × 7,375.36
  4. Step 4: Simplify right side
    12,407.68x = 126,285,044.12
  5. Step 5: Solve for x
    x = 126,285,044.12/12,407.68
  6. Step 6: Final answer
    x = 10,177.97

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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.