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Finding the Fourth Proportional to 24,380.32, 33,644.88 and 13,202.32

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Solution

The fourth proportional to 24,380.32, 33,644.88 and 13,202.32 is: 18,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.32 : 33,644.88 = 13,202.32 : x
  2. Step 2: Convert to fraction form
    24,380.32/33,644.88 = 13,202.32/x
  3. Step 3: Cross multiply
    24,380.32x = 33,644.88 × 13,202.32
  4. Step 4: Simplify right side
    24,380.32x = 444,190,472.12
  5. Step 5: Solve for x
    x = 444,190,472.12/24,380.32
  6. Step 6: Final answer
    x = 18,219.22

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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.