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Finding the Fourth Proportional to 14,863.46, 20,493.64 and 12,843.22

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Solution

The fourth proportional to 14,863.46, 20,493.64 and 12,843.22 is: 17,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.46 : 20,493.64 = 12,843.22 : x
  2. Step 2: Convert to fraction form
    14,863.46/20,493.64 = 12,843.22/x
  3. Step 3: Cross multiply
    14,863.46x = 20,493.64 × 12,843.22
  4. Step 4: Simplify right side
    14,863.46x = 263,204,327.12
  5. Step 5: Solve for x
    x = 263,204,327.12/14,863.46
  6. Step 6: Final answer
    x = 17,708.15

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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.