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Finding the Fourth Proportional to 17,769.36, 24,522.10 and 9,812.09

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Solution

The fourth proportional to 17,769.36, 24,522.10 and 9,812.09 is: 13,540.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.36 : 24,522.10 = 9,812.09 : x
  2. Step 2: Convert to fraction form
    17,769.36/24,522.10 = 9,812.09/x
  3. Step 3: Cross multiply
    17,769.36x = 24,522.10 × 9,812.09
  4. Step 4: Simplify right side
    17,769.36x = 240,613,052.19
  5. Step 5: Solve for x
    x = 240,613,052.19/17,769.36
  6. Step 6: Final answer
    x = 13,540.90

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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.