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Finding the Fourth Proportional to 17,523.42, 24,182.40 and 9,566.39

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Solution

The fourth proportional to 17,523.42, 24,182.40 and 9,566.39 is: 13,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.42 : 24,182.40 = 9,566.39 : x
  2. Step 2: Convert to fraction form
    17,523.42/24,182.40 = 9,566.39/x
  3. Step 3: Cross multiply
    17,523.42x = 24,182.40 × 9,566.39
  4. Step 4: Simplify right side
    17,523.42x = 231,338,148.62
  5. Step 5: Solve for x
    x = 231,338,148.62/17,523.42
  6. Step 6: Final answer
    x = 13,201.66

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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.