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Finding the Fourth Proportional to 22,612.42, 31,205.10 and 12,676.42

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Solution

The fourth proportional to 22,612.42, 31,205.10 and 12,676.42 is: 17,493.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.42 : 31,205.10 = 12,676.42 : x
  2. Step 2: Convert to fraction form
    22,612.42/31,205.10 = 12,676.42/x
  3. Step 3: Cross multiply
    22,612.42x = 31,205.10 × 12,676.42
  4. Step 4: Simplify right side
    22,612.42x = 395,568,953.74
  5. Step 5: Solve for x
    x = 395,568,953.74/22,612.42
  6. Step 6: Final answer
    x = 17,493.44

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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.