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Finding the Fourth Proportional to 24,194.95, 33,387.41 and 13,438.94

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Solution

The fourth proportional to 24,194.95, 33,387.41 and 13,438.94 is: 18,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,194.95 : 33,387.41 = 13,438.94 : x
  2. Step 2: Convert to fraction form
    24,194.95/33,387.41 = 13,438.94/x
  3. Step 3: Cross multiply
    24,194.95x = 33,387.41 × 13,438.94
  4. Step 4: Simplify right side
    24,194.95x = 448,691,266.41
  5. Step 5: Solve for x
    x = 448,691,266.41/24,194.95
  6. Step 6: Final answer
    x = 18,544.83

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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.