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Finding the Fourth Proportional to 22,473.56, 33,716.55 and 9,824.42

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Solution

The fourth proportional to 22,473.56, 33,716.55 and 9,824.42 is: 14,739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.56 : 33,716.55 = 9,824.42 : x
  2. Step 2: Convert to fraction form
    22,473.56/33,716.55 = 9,824.42/x
  3. Step 3: Cross multiply
    22,473.56x = 33,716.55 × 9,824.42
  4. Step 4: Simplify right side
    22,473.56x = 331,245,487.58
  5. Step 5: Solve for x
    x = 331,245,487.58/22,473.56
  6. Step 6: Final answer
    x = 14,739.34

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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.