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Finding the Fourth Proportional to 22,198.64, 30,635.54 and 12,767

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Solution

The fourth proportional to 22,198.64, 30,635.54 and 12,767 is: 17,619.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198.64 : 30,635.54 = 12,767 : x
  2. Step 2: Convert to fraction form
    22,198.64/30,635.54 = 12,767/x
  3. Step 3: Cross multiply
    22,198.64x = 30,635.54 × 12,767
  4. Step 4: Simplify right side
    22,198.64x = 391,123,939.18
  5. Step 5: Solve for x
    x = 391,123,939.18/22,198.64
  6. Step 6: Final answer
    x = 17,619.27

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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.