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Finding the Fourth Proportional to 17,770.36, 24,523.48 and 9,813.09

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Solution

The fourth proportional to 17,770.36, 24,523.48 and 9,813.09 is: 13,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.36 : 24,523.48 = 9,813.09 : x
  2. Step 2: Convert to fraction form
    17,770.36/24,523.48 = 9,813.09/x
  3. Step 3: Cross multiply
    17,770.36x = 24,523.48 × 9,813.09
  4. Step 4: Simplify right side
    17,770.36x = 240,651,116.35
  5. Step 5: Solve for x
    x = 240,651,116.35/17,770.36
  6. Step 6: Final answer
    x = 13,542.28

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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.