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Finding the Fourth Proportional to 17,385, 23,982.45 and 11,000.82

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Solution

The fourth proportional to 17,385, 23,982.45 and 11,000.82 is: 15,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,385 : 23,982.45 = 11,000.82 : x
  2. Step 2: Convert to fraction form
    17,385/23,982.45 = 11,000.82/x
  3. Step 3: Cross multiply
    17,385x = 23,982.45 × 11,000.82
  4. Step 4: Simplify right side
    17,385x = 263,826,615.61
  5. Step 5: Solve for x
    x = 263,826,615.61/17,385
  6. Step 6: Final answer
    x = 15,175.53

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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.