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Finding the Fourth Proportional to 17,839.78, 24,616.90 and 9,880

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Solution

The fourth proportional to 17,839.78, 24,616.90 and 9,880 is: 13,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.78 : 24,616.90 = 9,880 : x
  2. Step 2: Convert to fraction form
    17,839.78/24,616.90 = 9,880/x
  3. Step 3: Cross multiply
    17,839.78x = 24,616.90 × 9,880
  4. Step 4: Simplify right side
    17,839.78x = 243,214,972
  5. Step 5: Solve for x
    x = 243,214,972/17,839.78
  6. Step 6: Final answer
    x = 13,633.29

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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.