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Finding the Fourth Proportional to 17,535.20, 24,198.72 and 9,982.12

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Solution

The fourth proportional to 17,535.20, 24,198.72 and 9,982.12 is: 13,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.20 : 24,198.72 = 9,982.12 : x
  2. Step 2: Convert to fraction form
    17,535.20/24,198.72 = 9,982.12/x
  3. Step 3: Cross multiply
    17,535.20x = 24,198.72 × 9,982.12
  4. Step 4: Simplify right side
    17,535.20x = 241,554,526.89
  5. Step 5: Solve for x
    x = 241,554,526.89/17,535.20
  6. Step 6: Final answer
    x = 13,775.41

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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.