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Finding the Fourth Proportional to 24,327.42, 33,571.74 and 13,149.42

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Solution

The fourth proportional to 24,327.42, 33,571.74 and 13,149.42 is: 18,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.42 : 33,571.74 = 13,149.42 : x
  2. Step 2: Convert to fraction form
    24,327.42/33,571.74 = 13,149.42/x
  3. Step 3: Cross multiply
    24,327.42x = 33,571.74 × 13,149.42
  4. Step 4: Simplify right side
    24,327.42x = 441,448,909.39
  5. Step 5: Solve for x
    x = 441,448,909.39/24,327.42
  6. Step 6: Final answer
    x = 18,146.15

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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.