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Finding the Fourth Proportional to 24,380.23, 33,644.70 and 13,202.23

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Solution

The fourth proportional to 24,380.23, 33,644.70 and 13,202.23 is: 18,219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.23 : 33,644.70 = 13,202.23 : x
  2. Step 2: Convert to fraction form
    24,380.23/33,644.70 = 13,202.23/x
  3. Step 3: Cross multiply
    24,380.23x = 33,644.70 × 13,202.23
  4. Step 4: Simplify right side
    24,380.23x = 444,184,899.46
  5. Step 5: Solve for x
    x = 444,184,899.46/24,380.23
  6. Step 6: Final answer
    x = 18,219.06

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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.