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Finding the Fourth Proportional to 12,571.96, 17,352.42 and 7,270.08

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Solution

The fourth proportional to 12,571.96, 17,352.42 and 7,270.08 is: 10,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.96 : 17,352.42 = 7,270.08 : x
  2. Step 2: Convert to fraction form
    12,571.96/17,352.42 = 7,270.08/x
  3. Step 3: Cross multiply
    12,571.96x = 17,352.42 × 7,270.08
  4. Step 4: Simplify right side
    12,571.96x = 126,153,481.59
  5. Step 5: Solve for x
    x = 126,153,481.59/12,571.96
  6. Step 6: Final answer
    x = 10,034.51

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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.