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Finding the Fourth Proportional to 16,481.97, 22,742.64 and 9,407.43

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Solution

The fourth proportional to 16,481.97, 22,742.64 and 9,407.43 is: 12,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.97 : 22,742.64 = 9,407.43 : x
  2. Step 2: Convert to fraction form
    16,481.97/22,742.64 = 9,407.43/x
  3. Step 3: Cross multiply
    16,481.97x = 22,742.64 × 9,407.43
  4. Step 4: Simplify right side
    16,481.97x = 213,949,793.82
  5. Step 5: Solve for x
    x = 213,949,793.82/16,481.97
  6. Step 6: Final answer
    x = 12,980.84

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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.