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Finding the Fourth Proportional to 17,541, 24,226.20 and 13,609.80

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Solution

The fourth proportional to 17,541, 24,226.20 and 13,609.80 is: 18,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,541 : 24,226.20 = 13,609.80 : x
  2. Step 2: Convert to fraction form
    17,541/24,226.20 = 13,609.80/x
  3. Step 3: Cross multiply
    17,541x = 24,226.20 × 13,609.80
  4. Step 4: Simplify right side
    17,541x = 329,713,736.76
  5. Step 5: Solve for x
    x = 329,713,736.76/17,541
  6. Step 6: Final answer
    x = 18,796.75

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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.