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Finding the Fourth Proportional to 24,326.75, 33,570.50 and 13,716.42

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Solution

The fourth proportional to 24,326.75, 33,570.50 and 13,716.42 is: 18,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,326.75 : 33,570.50 = 13,716.42 : x
  2. Step 2: Convert to fraction form
    24,326.75/33,570.50 = 13,716.42/x
  3. Step 3: Cross multiply
    24,326.75x = 33,570.50 × 13,716.42
  4. Step 4: Simplify right side
    24,326.75x = 460,467,009.03
  5. Step 5: Solve for x
    x = 460,467,009.03/24,326.75
  6. Step 6: Final answer
    x = 18,928.43

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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.