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Finding the Fourth Proportional to 23,856, 32,922.30 and 13,245.63

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Solution

The fourth proportional to 23,856, 32,922.30 and 13,245.63 is: 18,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,856 : 32,922.30 = 13,245.63 : x
  2. Step 2: Convert to fraction form
    23,856/32,922.30 = 13,245.63/x
  3. Step 3: Cross multiply
    23,856x = 32,922.30 × 13,245.63
  4. Step 4: Simplify right side
    23,856x = 436,076,604.55
  5. Step 5: Solve for x
    x = 436,076,604.55/23,856
  6. Step 6: Final answer
    x = 18,279.54

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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.