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Finding the Fourth Proportional to 22,296.28, 30,768.24 and 12,224.20

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Solution

The fourth proportional to 22,296.28, 30,768.24 and 12,224.20 is: 16,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,296.28 : 30,768.24 = 12,224.20 : x
  2. Step 2: Convert to fraction form
    22,296.28/30,768.24 = 12,224.20/x
  3. Step 3: Cross multiply
    22,296.28x = 30,768.24 × 12,224.20
  4. Step 4: Simplify right side
    22,296.28x = 376,117,119.41
  5. Step 5: Solve for x
    x = 376,117,119.41/22,296.28
  6. Step 6: Final answer
    x = 16,869.05

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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.