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Finding the Fourth Proportional to 17,523.38, 24,182.16 and 9,565.44

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Solution

The fourth proportional to 17,523.38, 24,182.16 and 9,565.44 is: 13,200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.38 : 24,182.16 = 9,565.44 : x
  2. Step 2: Convert to fraction form
    17,523.38/24,182.16 = 9,565.44/x
  3. Step 3: Cross multiply
    17,523.38x = 24,182.16 × 9,565.44
  4. Step 4: Simplify right side
    17,523.38x = 231,313,000.55
  5. Step 5: Solve for x
    x = 231,313,000.55/17,523.38
  6. Step 6: Final answer
    x = 13,200.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.