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Finding the Fourth Proportional to 22,861.92, 31,546.74 and 12,790.92

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Solution

The fourth proportional to 22,861.92, 31,546.74 and 12,790.92 is: 17,649.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,861.92 : 31,546.74 = 12,790.92 : x
  2. Step 2: Convert to fraction form
    22,861.92/31,546.74 = 12,790.92/x
  3. Step 3: Cross multiply
    22,861.92x = 31,546.74 × 12,790.92
  4. Step 4: Simplify right side
    22,861.92x = 403,511,827.60
  5. Step 5: Solve for x
    x = 403,511,827.60/22,861.92
  6. Step 6: Final answer
    x = 17,649.95

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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.