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Finding the Fourth Proportional to 17,682.39, 24,401.79 and 9,725.13

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Solution

The fourth proportional to 17,682.39, 24,401.79 and 9,725.13 is: 13,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.39 : 24,401.79 = 9,725.13 : x
  2. Step 2: Convert to fraction form
    17,682.39/24,401.79 = 9,725.13/x
  3. Step 3: Cross multiply
    17,682.39x = 24,401.79 × 9,725.13
  4. Step 4: Simplify right side
    17,682.39x = 237,310,579.98
  5. Step 5: Solve for x
    x = 237,310,579.98/17,682.39
  6. Step 6: Final answer
    x = 13,420.73

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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.