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Finding the Fourth Proportional to 22,922.64, 31,635.16 and 12,850.92

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Solution

The fourth proportional to 22,922.64, 31,635.16 and 12,850.92 is: 17,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.64 : 31,635.16 = 12,850.92 : x
  2. Step 2: Convert to fraction form
    22,922.64/31,635.16 = 12,850.92/x
  3. Step 3: Cross multiply
    22,922.64x = 31,635.16 × 12,850.92
  4. Step 4: Simplify right side
    22,922.64x = 406,540,910.35
  5. Step 5: Solve for x
    x = 406,540,910.35/22,922.64
  6. Step 6: Final answer
    x = 17,735.34

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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.