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Finding the Fourth Proportional to 16,224.94, 22,383.84 and 11,451.82

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Solution

The fourth proportional to 16,224.94, 22,383.84 and 11,451.82 is: 15,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.94 : 22,383.84 = 11,451.82 : x
  2. Step 2: Convert to fraction form
    16,224.94/22,383.84 = 11,451.82/x
  3. Step 3: Cross multiply
    16,224.94x = 22,383.84 × 11,451.82
  4. Step 4: Simplify right side
    16,224.94x = 256,335,706.59
  5. Step 5: Solve for x
    x = 256,335,706.59/16,224.94
  6. Step 6: Final answer
    x = 15,798.87

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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.