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Finding the Fourth Proportional to 22,961.88, 34,448.76 and 8,169.12

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Solution

The fourth proportional to 22,961.88, 34,448.76 and 8,169.12 is: 12,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.88 : 34,448.76 = 8,169.12 : x
  2. Step 2: Convert to fraction form
    22,961.88/34,448.76 = 8,169.12/x
  3. Step 3: Cross multiply
    22,961.88x = 34,448.76 × 8,169.12
  4. Step 4: Simplify right side
    22,961.88x = 281,416,054.29
  5. Step 5: Solve for x
    x = 281,416,054.29/22,961.88
  6. Step 6: Final answer
    x = 12,255.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.