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Finding the Fourth Proportional to 17,682, 24,401.74 and 9,724.80

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Solution

The fourth proportional to 17,682, 24,401.74 and 9,724.80 is: 13,420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682 : 24,401.74 = 9,724.80 : x
  2. Step 2: Convert to fraction form
    17,682/24,401.74 = 9,724.80/x
  3. Step 3: Cross multiply
    17,682x = 24,401.74 × 9,724.80
  4. Step 4: Simplify right side
    17,682x = 237,302,041.15
  5. Step 5: Solve for x
    x = 237,302,041.15/17,682
  6. Step 6: Final answer
    x = 13,420.54

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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.