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Finding the Fourth Proportional to 22,272.10, 30,738.09 and 12,841

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Solution

The fourth proportional to 22,272.10, 30,738.09 and 12,841 is: 17,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.10 : 30,738.09 = 12,841 : x
  2. Step 2: Convert to fraction form
    22,272.10/30,738.09 = 12,841/x
  3. Step 3: Cross multiply
    22,272.10x = 30,738.09 × 12,841
  4. Step 4: Simplify right side
    22,272.10x = 394,707,813.69
  5. Step 5: Solve for x
    x = 394,707,813.69/22,272.10
  6. Step 6: Final answer
    x = 17,722.07

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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.