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Finding the Fourth Proportional to 17,523.69, 24,182.29 and 9,566.04

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Solution

The fourth proportional to 17,523.69, 24,182.29 and 9,566.04 is: 13,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.69 : 24,182.29 = 9,566.04 : x
  2. Step 2: Convert to fraction form
    17,523.69/24,182.29 = 9,566.04/x
  3. Step 3: Cross multiply
    17,523.69x = 24,182.29 × 9,566.04
  4. Step 4: Simplify right side
    17,523.69x = 231,328,753.43
  5. Step 5: Solve for x
    x = 231,328,753.43/17,523.69
  6. Step 6: Final answer
    x = 13,200.92

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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.