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Finding the Fourth Proportional to 12,882.22, 19,309.96 and 7,323.59

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Solution

The fourth proportional to 12,882.22, 19,309.96 and 7,323.59 is: 10,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.22 : 19,309.96 = 7,323.59 : x
  2. Step 2: Convert to fraction form
    12,882.22/19,309.96 = 7,323.59/x
  3. Step 3: Cross multiply
    12,882.22x = 19,309.96 × 7,323.59
  4. Step 4: Simplify right side
    12,882.22x = 141,418,229.96
  5. Step 5: Solve for x
    x = 141,418,229.96/12,882.22
  6. Step 6: Final answer
    x = 10,977.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.