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Finding the Fourth Proportional to 17,682.29, 24,401.01 and 9,723.73

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Solution

The fourth proportional to 17,682.29, 24,401.01 and 9,723.73 is: 13,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.29 : 24,401.01 = 9,723.73 : x
  2. Step 2: Convert to fraction form
    17,682.29/24,401.01 = 9,723.73/x
  3. Step 3: Cross multiply
    17,682.29x = 24,401.01 × 9,723.73
  4. Step 4: Simplify right side
    17,682.29x = 237,268,832.97
  5. Step 5: Solve for x
    x = 237,268,832.97/17,682.29
  6. Step 6: Final answer
    x = 13,418.44

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1.5x scale

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.