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Finding the Fourth Proportional to 17,540.72, 24,205.89 and 9,582.74

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Solution

The fourth proportional to 17,540.72, 24,205.89 and 9,582.74 is: 13,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.72 : 24,205.89 = 9,582.74 : x
  2. Step 2: Convert to fraction form
    17,540.72/24,205.89 = 9,582.74/x
  3. Step 3: Cross multiply
    17,540.72x = 24,205.89 × 9,582.74
  4. Step 4: Simplify right side
    17,540.72x = 231,958,750.34
  5. Step 5: Solve for x
    x = 231,958,750.34/17,540.72
  6. Step 6: Final answer
    x = 13,224.02

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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.