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Finding the Fourth Proportional to 17,771.30, 24,524.62 and 9,813.34

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Solution

The fourth proportional to 17,771.30, 24,524.62 and 9,813.34 is: 13,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.30 : 24,524.62 = 9,813.34 : x
  2. Step 2: Convert to fraction form
    17,771.30/24,524.62 = 9,813.34/x
  3. Step 3: Cross multiply
    17,771.30x = 24,524.62 × 9,813.34
  4. Step 4: Simplify right side
    17,771.30x = 240,668,434.43
  5. Step 5: Solve for x
    x = 240,668,434.43/17,771.30
  6. Step 6: Final answer
    x = 13,542.53

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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.