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Finding the Fourth Proportional to 17,523.68, 24,182.75 and 9,566.07

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Solution

The fourth proportional to 17,523.68, 24,182.75 and 9,566.07 is: 13,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.68 : 24,182.75 = 9,566.07 : x
  2. Step 2: Convert to fraction form
    17,523.68/24,182.75 = 9,566.07/x
  3. Step 3: Cross multiply
    17,523.68x = 24,182.75 × 9,566.07
  4. Step 4: Simplify right side
    17,523.68x = 231,334,016.56
  5. Step 5: Solve for x
    x = 231,334,016.56/17,523.68
  6. Step 6: Final answer
    x = 13,201.22

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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.