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Finding the Fourth Proportional to 16,298.28, 22,491.05 and 9,224.55

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Solution

The fourth proportional to 16,298.28, 22,491.05 and 9,224.55 is: 12,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.28 : 22,491.05 = 9,224.55 : x
  2. Step 2: Convert to fraction form
    16,298.28/22,491.05 = 9,224.55/x
  3. Step 3: Cross multiply
    16,298.28x = 22,491.05 × 9,224.55
  4. Step 4: Simplify right side
    16,298.28x = 207,469,769.15
  5. Step 5: Solve for x
    x = 207,469,769.15/16,298.28
  6. Step 6: Final answer
    x = 12,729.55

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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.