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Finding the Fourth Proportional to 17,540.30, 24,205.76 and 9,582.53

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Solution

The fourth proportional to 17,540.30, 24,205.76 and 9,582.53 is: 13,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.30 : 24,205.76 = 9,582.53 : x
  2. Step 2: Convert to fraction form
    17,540.30/24,205.76 = 9,582.53/x
  3. Step 3: Cross multiply
    17,540.30x = 24,205.76 × 9,582.53
  4. Step 4: Simplify right side
    17,540.30x = 231,952,383.40
  5. Step 5: Solve for x
    x = 231,952,383.40/17,540.30
  6. Step 6: Final answer
    x = 13,223.97

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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.