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Finding the Fourth Proportional to 17,524.19, 24,182.97 and 9,566.55

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Solution

The fourth proportional to 17,524.19, 24,182.97 and 9,566.55 is: 13,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,524.19 : 24,182.97 = 9,566.55 : x
  2. Step 2: Convert to fraction form
    17,524.19/24,182.97 = 9,566.55/x
  3. Step 3: Cross multiply
    17,524.19x = 24,182.97 × 9,566.55
  4. Step 4: Simplify right side
    17,524.19x = 231,347,591.65
  5. Step 5: Solve for x
    x = 231,347,591.65/17,524.19
  6. Step 6: Final answer
    x = 13,201.62

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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.