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Finding the Fourth Proportional to 22,519.64, 33,768.82 and 13,162.34

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Solution

The fourth proportional to 22,519.64, 33,768.82 and 13,162.34 is: 19,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519.64 : 33,768.82 = 13,162.34 : x
  2. Step 2: Convert to fraction form
    22,519.64/33,768.82 = 13,162.34/x
  3. Step 3: Cross multiply
    22,519.64x = 33,768.82 × 13,162.34
  4. Step 4: Simplify right side
    22,519.64x = 444,476,690.24
  5. Step 5: Solve for x
    x = 444,476,690.24/22,519.64
  6. Step 6: Final answer
    x = 19,737.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.