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Finding the Fourth Proportional to 24,371.74, 33,632.94 and 13,193.74

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Solution

The fourth proportional to 24,371.74, 33,632.94 and 13,193.74 is: 18,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.74 : 33,632.94 = 13,193.74 : x
  2. Step 2: Convert to fraction form
    24,371.74/33,632.94 = 13,193.74/x
  3. Step 3: Cross multiply
    24,371.74x = 33,632.94 × 13,193.74
  4. Step 4: Simplify right side
    24,371.74x = 443,744,265.80
  5. Step 5: Solve for x
    x = 443,744,265.80/24,371.74
  6. Step 6: Final answer
    x = 18,207.33

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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.