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Finding the Fourth Proportional to 24,416.46, 33,694.92 and 13,238.46

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Solution

The fourth proportional to 24,416.46, 33,694.92 and 13,238.46 is: 18,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.46 : 33,694.92 = 13,238.46 : x
  2. Step 2: Convert to fraction form
    24,416.46/33,694.92 = 13,238.46/x
  3. Step 3: Cross multiply
    24,416.46x = 33,694.92 × 13,238.46
  4. Step 4: Simplify right side
    24,416.46x = 446,068,850.62
  5. Step 5: Solve for x
    x = 446,068,850.62/24,416.46
  6. Step 6: Final answer
    x = 18,269.19

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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.