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Finding the Fourth Proportional to 17,524.26, 24,182.63 and 9,969.88

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Solution

The fourth proportional to 17,524.26, 24,182.63 and 9,969.88 is: 13,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.26 : 24,182.63 = 9,969.88 : x
  2. Step 2: Convert to fraction form
    17,524.26/24,182.63 = 9,969.88/x
  3. Step 3: Cross multiply
    17,524.26x = 24,182.63 × 9,969.88
  4. Step 4: Simplify right side
    17,524.26x = 241,097,748.42
  5. Step 5: Solve for x
    x = 241,097,748.42/17,524.26
  6. Step 6: Final answer
    x = 13,757.94

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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.