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Finding the Fourth Proportional to 22,407.24, 30,912.84 and 12,841.80

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Solution

The fourth proportional to 22,407.24, 30,912.84 and 12,841.80 is: 17,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.24 : 30,912.84 = 12,841.80 : x
  2. Step 2: Convert to fraction form
    22,407.24/30,912.84 = 12,841.80/x
  3. Step 3: Cross multiply
    22,407.24x = 30,912.84 × 12,841.80
  4. Step 4: Simplify right side
    22,407.24x = 396,976,508.71
  5. Step 5: Solve for x
    x = 396,976,508.71/22,407.24
  6. Step 6: Final answer
    x = 17,716.44

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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.