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Finding the Fourth Proportional to 17,523.74, 24,183.30 and 9,566.48

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Solution

The fourth proportional to 17,523.74, 24,183.30 and 9,566.48 is: 13,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.74 : 24,183.30 = 9,566.48 : x
  2. Step 2: Convert to fraction form
    17,523.74/24,183.30 = 9,566.48/x
  3. Step 3: Cross multiply
    17,523.74x = 24,183.30 × 9,566.48
  4. Step 4: Simplify right side
    17,523.74x = 231,349,055.78
  5. Step 5: Solve for x
    x = 231,349,055.78/17,523.74
  6. Step 6: Final answer
    x = 13,202.04

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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.