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Finding the Fourth Proportional to 17,682, 24,401 and 9,724.08

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Solution

The fourth proportional to 17,682, 24,401 and 9,724.08 is: 13,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682 : 24,401 = 9,724.08 : x
  2. Step 2: Convert to fraction form
    17,682/24,401 = 9,724.08/x
  3. Step 3: Cross multiply
    17,682x = 24,401 × 9,724.08
  4. Step 4: Simplify right side
    17,682x = 237,277,276.08
  5. Step 5: Solve for x
    x = 237,277,276.08/17,682
  6. Step 6: Final answer
    x = 13,419.14

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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.