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Finding the Fourth Proportional to 12,571.47, 17,351.07 and 8,322.61

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Solution

The fourth proportional to 12,571.47, 17,351.07 and 8,322.61 is: 11,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,571.47 : 17,351.07 = 8,322.61 : x
  2. Step 2: Convert to fraction form
    12,571.47/17,351.07 = 8,322.61/x
  3. Step 3: Cross multiply
    12,571.47x = 17,351.07 × 8,322.61
  4. Step 4: Simplify right side
    12,571.47x = 144,406,147.08
  5. Step 5: Solve for x
    x = 144,406,147.08/12,571.47
  6. Step 6: Final answer
    x = 11,486.81

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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.